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152496768 = 273397127
BaseRepresentation
bin10010001011011…
…10101010000000
3101121221122020110
421011232222000
5303014344033
623044311320
73531125664
oct1105565200
9347848213
10152496768
1179098096
12430a2540
1325794498
14163788a4
15d5c4363
hex916ea80

152496768 has 32 divisors (see below), whose sum is σ = 405070560. Its totient is φ = 50832128.

The previous prime is 152496763. The next prime is 152496779. The reversal of 152496768 is 867694251.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (152496763) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 198180 + ... + 198947.

It is an arithmetic number, because the mean of its divisors is an integer number (12658455).

Almost surely, 2152496768 is an apocalyptic number.

It is an amenable number.

152496768 is an abundant number, since it is smaller than the sum of its proper divisors (252573792).

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

152496768 is an equidigital number, since it uses as much as digits as its factorization.

152496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397144 (or 397132 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 152496768 is about 12348.9581746802. The cubic root of 152496768 is about 534.2610907439.

The spelling of 152496768 in words is "one hundred fifty-two million, four hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397127 794254 1191381 1588508 2382762 3177016 4765524 6354032 9531048 12708064 19062096 25416128 38124192 50832256 76248384 152496768