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1385874072 = 2332113747293
BaseRepresentation
bin101001010011010…
…1100001010011000
310120120202200211100
41102212230022120
510314240432242
6345304031400
746225510122
oct12246541230
93516680740
101385874072
11651320780
12328162560
13191173c3b
14d20b6212
1581a0454c
hex529ac298

1385874072 has 96 divisors (see below), whose sum is σ = 4205382480. Its totient is φ = 408602880.

The previous prime is 1385874071. The next prime is 1385874097. The reversal of 1385874072 is 2704785831.

It is a super-2 number, since 2×13858740722 = 3841293886883722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385874071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5658 + ... + 52950.

Almost surely, 21385874072 is an apocalyptic number.

1385874072 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 1385874072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102691240).

1385874072 is an abundant number, since it is smaller than the sum of its proper divisors (2819508408).

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

1385874072 is a wasteful number, since it uses less digits than its factorization.

1385874072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47353 (or 47346 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1385874072 is about 37227.3296383181. The cubic root of 1385874072 is about 1114.9137115418.

The spelling of 1385874072 in words is "one billion, three hundred eighty-five million, eight hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14652 29304 47293 94586 141879 189172 283758 378344 425637 520223 567516 851274 1040446 1135032 1560669 1702548 1749841 2080892 3121338 3405096 3499682 4161784 4682007 5249523 6242676 6999364 9364014 10499046 12485352 13998728 15748569 18728028 19248251 20998092 31497138 37456056 38496502 41996184 57744753 62994276 76993004 115489506 125988552 153986008 173234259 230979012 346468518 461958024 692937036 1385874072