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152925696 = 2932711431
BaseRepresentation
bin10010001110101…
…11011000000000
3101122202102121200
421013113120000
5303122110241
623101421200
73534563340
oct1107273000
9348672550
10152925696
1179360380
124326a800
13258b47a1
141644ad20
15d65b4b6
hex91d7600

152925696 has 240 divisors, whose sum is σ = 551536128. Its totient is φ = 39628800.

The previous prime is 152925683. The next prime is 152925709. The reversal of 152925696 is 696529251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152925683) and next prime (152925709).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354601 + ... + 355031.

Almost surely, 2152925696 is an apocalyptic number.

152925696 is a gapful number since it is divisible by the number (16) 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 152925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

152925696 is an abundant number, since it is smaller than the sum of its proper divisors (398610432).

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

152925696 is a wasteful number, since it uses less digits than its factorization.

152925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 152925696 is about 12366.3129509163. The cubic root of 152925696 is about 534.7615276312.

It can be divided in two parts, 1529 and 25696, that added together give a square (27225 = 1652).

The spelling of 152925696 in words is "one hundred fifty-two million, nine hundred twenty-five thousand, six hundred ninety-six".