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152005872 = 2433379397
BaseRepresentation
bin10010000111101…
…10110011110000
3101121000200212010
421003312303300
5302403141442
623030002520
73524012544
oct1103666360
9347020763
10152005872
1178892297
1242aa6440
1325651c05
141628ba24
15d528b9c
hex90f6cf0

152005872 has 40 divisors (see below), whose sum is σ = 393888976. Its totient is φ = 50512896.

The previous prime is 152005853. The next prime is 152005897. The reversal of 152005872 is 278500251.

152005872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11478 + ... + 20874.

Almost surely, 2152005872 is an apocalyptic number.

152005872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152005872 is an abundant number, since it is smaller than the sum of its proper divisors (241883104).

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

152005872 is a wasteful number, since it uses less digits than its factorization.

152005872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 152005872 is about 12329.0661446843. The cubic root of 152005872 is about 533.6872019605.

The spelling of 152005872 in words is "one hundred fifty-two million, five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 337 674 1011 1348 2022 2696 4044 5392 8088 9397 16176 18794 28191 37588 56382 75176 112764 150352 225528 451056 3166789 6333578 9500367 12667156 19000734 25334312 38001468 50668624 76002936 152005872