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152185696 = 25133111801
BaseRepresentation
bin10010001001000…
…10101101100000
3101121100211112021
421010202231200
5302424420241
623033511224
73525362035
oct1104425540
9347324467
10152185696
11789a5403
1242b72514
13256b5a10
14162d738c
15d5620d1
hex9122b60

152185696 has 48 divisors (see below), whose sum is σ = 333099648. Its totient is φ = 67968000.

The previous prime is 152185661. The next prime is 152185703. The reversal of 152185696 is 696581251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6996 + ... + 18796.

It is an arithmetic number, because the mean of its divisors is an integer number (6939576).

Almost surely, 2152185696 is an apocalyptic number.

152185696 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 152185696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166549824).

152185696 is an abundant number, since it is smaller than the sum of its proper divisors (180913952).

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

152185696 is a wasteful number, since it uses less digits than its factorization.

152185696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11847 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The square root of 152185696 is about 12336.3566744805. The cubic root of 152185696 is about 533.8975709125.

It can be divided in two parts, 152185 and 696, that added together give a square (152881 = 3912).

The spelling of 152185696 in words is "one hundred fifty-two million, one hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 11801 12896 23602 47204 94408 153413 188816 306826 365831 377632 613652 731662 1227304 1463324 2454608 2926648 4755803 4909216 5853296 9511606 11706592 19023212 38046424 76092848 152185696