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152908352 = 2619413067
BaseRepresentation
bin10010001110100…
…11001001000000
3101122201112211022
421013103021000
5303121031402
623101205012
73534461642
oct1107231100
9348645738
10152908352
1179349343
1243260768
13258a991c
1416444892
15d6562a2
hex91d3240

152908352 has 56 divisors (see below), whose sum is σ = 327294240. Its totient is φ = 70640640.

The previous prime is 152908351. The next prime is 152908363. The reversal of 152908352 is 253809251.

It is a super-2 number, since 2×1529083522 = 46761928222711808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152908351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48323 + ... + 51389.

It is an arithmetic number, because the mean of its divisors is an integer number (5844540).

Almost surely, 2152908352 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 152908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163647120).

152908352 is an abundant number, since it is smaller than the sum of its proper divisors (174385888).

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

152908352 is a wasteful number, since it uses less digits than its factorization.

152908352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 152908352 is about 12365.6116710820. The cubic root of 152908352 is about 534.7413102863.

The spelling of 152908352 in words is "one hundred fifty-two million, nine hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 304 328 608 656 779 1216 1312 1558 2624 3067 3116 6134 6232 12268 12464 24536 24928 49072 49856 58273 98144 116546 125747 196288 233092 251494 466184 502988 932368 1005976 1864736 2011952 2389193 3729472 4023904 4778386 8047808 9556772 19113544 38227088 76454176 152908352