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152796952 = 237111714591
BaseRepresentation
bin10010001101101…
…11111100011000
3101122111220000101
421012313330120
5303104000302
623054545144
73533516110
oct1106677430
9348456011
10152796952
1179282680
12432081b4
132586acc9
1416416040
15d633287
hex91b7f18

152796952 has 64 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 56025600.

The previous prime is 152796949. The next prime is 152796971. The reversal of 152796952 is 259697251.

It is a congruent number.

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, 3177 + ... + 17767.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2152796952 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 152796952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

152796952 is an abundant number, since it is smaller than the sum of its proper divisors (225427688).

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

152796952 is a wasteful number, since it uses less digits than its factorization.

152796952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632 (or 14628 counting only the distinct ones).

The product of its digits is 340200, while the sum is 46.

The square root of 152796952 is about 12361.1064229704. The cubic root of 152796952 is about 534.6114184187.

The spelling of 152796952 in words is "one hundred fifty-two million, seven hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472 14591 29182 58364 102137 116728 160501 204274 248047 321002 408548 496094 642004 817096 992188 1123507 1284008 1736329 1984376 2247014 2728517 3472658 4494028 5457034 6945316 8988056 10914068 13890632 19099619 21828136 38199238 76398476 152796952