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1452264012 = 22331921932
BaseRepresentation
bin101011010001111…
…1100101001001100
310202012200122201000
41112203330221030
510433234422022
6400035020300
750663016603
oct12643745114
93665618630
101452264012
116858464a1
1234643a690
131a1b4a524
14dac38a3a
158776a6ac
hex568fca4c

1452264012 has 108 divisors (see below), whose sum is σ = 3994419240. Its totient is φ = 456233472.

The previous prime is 1452263987. The next prime is 1452264013. The reversal of 1452264012 is 2104622541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1452264012 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 640 + 12 = 666.

1452264012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×14522640122 = 4218141521100672288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1452264013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7524588 + ... + 7524780.

Almost surely, 21452264012 is an apocalyptic number.

1452264012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452264012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997209620).

1452264012 is an abundant number, since it is smaller than the sum of its proper divisors (2542155228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1452264012 is a wasteful number, since it uses less digits than its factorization.

1452264012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1452264012 is about 38108.5818681304. The cubic root of 1452264012 is about 1132.4399757670.

Multiplying 1452264012 by its sum of digits (27), we get a square (39211128324 = 1980182).

1452264012 divided by its sum of digits (27) gives a square (53787556 = 73342).

Adding to 1452264012 its reverse (2104622541), we get a palindrome (3556886553).

The spelling of 1452264012 in words is "one billion, four hundred fifty-two million, two hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 193 228 342 361 386 513 579 684 722 772 1026 1083 1158 1444 1737 2052 2166 2316 3249 3474 3667 4332 5211 6498 6948 7334 9747 10422 11001 12996 14668 19494 20844 22002 33003 37249 38988 44004 66006 69673 74498 99009 111747 132012 139346 148996 198018 209019 223494 278692 335241 396036 418038 446988 627057 670482 707731 836076 1005723 1254114 1340964 1415462 1881171 2011446 2123193 2508228 2830924 3762342 4022892 4246386 6369579 7524684 8492772 12739158 13446889 19108737 25478316 26893778 38217474 40340667 53787556 76434948 80681334 121022001 161362668 242044002 363066003 484088004 726132006 1452264012