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152966968 = 23711248323
BaseRepresentation
bin10010001111000…
…01011100111000
3101122211112020021
421013201130320
5303124420333
623102340224
73535124560
oct1107413470
9348745207
10152966968
1179389390
124328a674
13258ca4cb
141645bda0
15d66882d
hex91e1738

152966968 has 32 divisors (see below), whose sum is σ = 357586560. Its totient is φ = 59597280.

The previous prime is 152966923. The next prime is 152966971. The reversal of 152966968 is 869669251.

It is a super-2 number, since 2×1529669682 = 46797786598226048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123546 + ... + 124777.

It is an arithmetic number, because the mean of its divisors is an integer number (11174580).

Almost surely, 2152966968 is an apocalyptic number.

It is an amenable number.

152966968 is an abundant number, since it is smaller than the sum of its proper divisors (204619592).

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

152966968 is a wasteful number, since it uses less digits than its factorization.

152966968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248347 (or 248343 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 152966968 is about 12367.9815653161. The cubic root of 152966968 is about 534.8096309326.

The spelling of 152966968 in words is "one hundred fifty-two million, nine hundred sixty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 248323 496646 993292 1738261 1986584 2731553 3476522 5463106 6953044 10926212 13906088 19120871 21852424 38241742 76483484 152966968