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152896338 = 23275412243
BaseRepresentation
bin10010001110100…
…00001101010010
3101122200221100100
421013100031102
5303120140323
623101033230
73534411630
oct1107201522
9348627310
10152896338
1179340311
1243255816
13258a430a
1416440350
15d652943
hex91d0352

152896338 has 48 divisors (see below), whose sum is σ = 379469376. Its totient is φ = 43584480.

The previous prime is 152896313. The next prime is 152896343. The reversal of 152896338 is 833698251.

It is a happy number.

152896338 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 9 + 633 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152896293 and 152896302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67045 + ... + 69287.

It is an arithmetic number, because the mean of its divisors is an integer number (7905612).

Almost surely, 2152896338 is an apocalyptic number.

152896338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

152896338 is an abundant number, since it is smaller than the sum of its proper divisors (226573038).

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

152896338 is a wasteful number, since it uses less digits than its factorization.

152896338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2796 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 152896338 is about 12365.1258788578. The cubic root of 152896338 is about 534.7273050554.

The spelling of 152896338 in words is "one hundred fifty-two million, eight hundred ninety-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 541 1082 1623 2243 3246 3787 4486 4869 6729 7574 9738 11361 13458 15701 20187 22722 31402 34083 40374 47103 68166 94206 141309 282618 1213463 2426926 3640389 7280778 8494241 10921167 16988482 21842334 25482723 50965446 76448169 152896338