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152791952 = 2429329293
BaseRepresentation
bin10010001101101…
…10101110010000
3101122111122011012
421012312232100
5303103320302
623054510052
73533465405
oct1106665620
9348448135
10152791952
1179279945
1243205328
1325868951
14164142ac
15d631a52
hex91b6b90

152791952 has 20 divisors (see below), whose sum is σ = 306243420. Its totient is φ = 73761408.

The previous prime is 152791927. The next prime is 152791973. The reversal of 152791952 is 259197251.

It can be written as a sum of positive squares in 2 ways, for example, as 100721296 + 52070656 = 10036^2 + 7216^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 164183 + ... + 165110.

It is an arithmetic number, because the mean of its divisors is an integer number (15312171).

Almost surely, 2152791952 is an apocalyptic number.

It is an amenable number.

152791952 is an abundant number, since it is smaller than the sum of its proper divisors (153451468).

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

152791952 is a wasteful number, since it uses less digits than its factorization.

152791952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329330 (or 329324 counting only the distinct ones).

The product of its digits is 56700, while the sum is 41.

The square root of 152791952 is about 12360.9041740481. The cubic root of 152791952 is about 534.6055869624.

The spelling of 152791952 in words is "one hundred fifty-two million, seven hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 329293 658586 1317172 2634344 5268688 9549497 19098994 38197988 76395976 152791952