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152968932 = 22337119949
BaseRepresentation
bin10010001111000…
…01111011100100
3101122211121221000
421013201323210
5303130001212
623102353300
73535133364
oct1107417344
9348747830
10152968932
117938a906
124328b830
13258cb37c
141645c9a4
15d6691dc
hex91e1ee4

152968932 has 48 divisors (see below), whose sum is σ = 402192000. Its totient is φ = 50268960.

The previous prime is 152968859. The next prime is 152968951. The reversal of 152968932 is 239869251.

152968932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307 + ... + 17642.

It is an arithmetic number, because the mean of its divisors is an integer number (8379000).

Almost surely, 2152968932 is an apocalyptic number.

152968932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152968932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

152968932 is an abundant number, since it is smaller than the sum of its proper divisors (249223068).

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

152968932 is a wasteful number, since it uses less digits than its factorization.

152968932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20033 (or 20025 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 152968932 is about 12368.0609636272. The cubic root of 152968932 is about 534.8119197963.

The spelling of 152968932 in words is "one hundred fifty-two million, nine hundred sixty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 19949 39898 59847 79796 119694 179541 239388 359082 538623 718164 1077246 1416379 2154492 2832758 4249137 5665516 8498274 12747411 16996548 25494822 38242233 50989644 76484466 152968932