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152915968 = 212371009
BaseRepresentation
bin10010001110101…
…01000000000000
3101122201221021101
421013111000000
5303121302333
623101304144
73534523102
oct1107250000
9348657241
10152915968
1179354037
1243265054
13258b022a
1416447572
15d65867d
hex91d5000

152915968 has 52 divisors (see below), whose sum is σ = 314370580. Its totient is φ = 74317824.

The previous prime is 152915953. The next prime is 152915989. The reversal of 152915968 is 869519251.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 57032704 = 9792^2 + 7552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151048 + ... + 152056.

Almost surely, 2152915968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157185290).

152915968 is an abundant number, since it is smaller than the sum of its proper divisors (161454612).

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

152915968 is an equidigital number, since it uses as much as digits as its factorization.

152915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1048 counting only the distinct ones).

The product of its digits is 194400, while the sum is 46.

The square root of 152915968 is about 12365.9196180470. The cubic root of 152915968 is about 534.7501882017.

The spelling of 152915968 in words is "one hundred fifty-two million, nine hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1009 1024 1184 2018 2048 2368 4036 4096 4736 8072 9472 16144 18944 32288 37333 37888 64576 74666 75776 129152 149332 151552 258304 298664 516608 597328 1033216 1194656 2066432 2389312 4132864 4778624 9557248 19114496 38228992 76457984 152915968