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152523252 = 223271735603
BaseRepresentation
bin10010001011101…
…01000111110100
3101121222222120100
421011311013310
5303021221002
623045034100
73531266130
oct1105650764
9347888510
10152523252
1179105a82
12430b5930
13257a355b
14163843c0
15d5cc11c
hex91751f4

152523252 has 72 divisors (see below), whose sum is σ = 466554816. Its totient is φ = 41013504.

The previous prime is 152523251. The next prime is 152523277. The reversal of 152523252 is 252325251.

152523252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152523251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13518 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (6479928).

Almost surely, 2152523252 is an apocalyptic number.

152523252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152523252 is an abundant number, since it is smaller than the sum of its proper divisors (314031564).

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

152523252 is a wasteful number, since it uses less digits than its factorization.

152523252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35637 (or 35632 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 152523252 is about 12350.0304453066. The cubic root of 152523252 is about 534.2920171954.

The spelling of 152523252 in words is "one hundred fifty-two million, five hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 35603 71206 106809 142412 213618 249221 320427 427236 498442 605251 640854 747663 996884 1210502 1281708 1495326 1815753 2242989 2421004 2990652 3631506 4236757 4485978 5447259 7263012 8473514 8971956 10894518 12710271 16947028 21789036 25420542 38130813 50841084 76261626 152523252