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1484625252 = 22311234111927
BaseRepresentation
bin101100001111101…
…1001010101100100
310211110120202222110
41120133121111210
511020031002002
6403152401020
751535051335
oct13037312544
93743522873
101484625252
116a2039a20
12355246170
131a876b1a6
1410126028c
158a50de6c
hex587d9564

1484625252 has 96 divisors (see below), whose sum is σ = 4039870464. Its totient is φ = 419795200.

The previous prime is 1484625251. The next prime is 1484625253. The reversal of 1484625252 is 2525264841.

It is an interprime number because it is at equal distance from previous prime (1484625251) and next prime (1484625253).

It is a super-2 number, since 2×14846252522 = 4408224277752127008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1484625252.

It is not an unprimeable number, because it can be changed into a prime (1484625251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118513 + ... + 130439.

It is an arithmetic number, because the mean of its divisors is an integer number (42081984).

Almost surely, 21484625252 is an apocalyptic number.

1484625252 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 1484625252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019935232).

1484625252 is an abundant number, since it is smaller than the sum of its proper divisors (2555245212).

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

1484625252 is a wasteful number, since it uses less digits than its factorization.

1484625252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 12007 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 1484625252 is about 38530.8350804911. The cubic root of 1484625252 is about 1140.7897605364.

The spelling of 1484625252 in words is "one billion, four hundred eighty-four million, six hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 41 44 46 66 69 82 92 123 132 138 164 246 253 276 451 492 506 759 902 943 1012 1353 1518 1804 1886 2706 2829 3036 3772 5412 5658 10373 11316 11927 20746 23854 31119 35781 41492 47708 62238 71562 124476 131197 143124 262394 274321 393591 489007 524788 548642 787182 822963 978014 1097284 1467021 1574364 1645926 1956028 2934042 3017531 3291852 5379077 5868084 6035062 9052593 10758154 11247161 12070124 16137231 18105186 21516308 22494322 32274462 33741483 36210372 44988644 64548924 67482966 123718771 134965932 247437542 371156313 494875084 742312626 1484625252