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152365032 = 23322518431
BaseRepresentation
bin10010001010011…
…10011111101000
3101121200221112100
421011032133220
5303001140112
623041413400
73530036631
oct1105163750
9347627470
10152365032
1179008116
124303a260
1325749531
1416342888
15d59a2dc
hex914e7e8

152365032 has 48 divisors (see below), whose sum is σ = 414348480. Its totient is φ = 50580000.

The previous prime is 152364967. The next prime is 152365049. The reversal of 152365032 is 230563251.

152365032 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 650 + 3 + 2 = 666.

152365032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1523650322 = 46430205952722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152364987 and 152365005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13857 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2152365032 is an apocalyptic number.

152365032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152365032 is an abundant number, since it is smaller than the sum of its proper divisors (261983448).

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

152365032 is a wasteful number, since it uses less digits than its factorization.

152365032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 152365032 is about 12343.6231309936. The cubic root of 152365032 is about 534.1072039953.

The spelling of 152365032 in words is "one hundred fifty-two million, three hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1506 2008 2259 3012 4518 6024 8431 9036 16862 18072 25293 33724 50586 67448 75879 101172 151758 202344 303516 607032 2116181 4232362 6348543 8464724 12697086 16929448 19045629 25394172 38091258 50788344 76182516 152365032