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125252532 = 2232171031987
BaseRepresentation
bin1110111011100…
…11001110110100
322201200111011200
413131303032310
5224031040112
620232332500
73050425506
oct735631664
9281614150
10125252532
116477a099
1235b44130
131cc45932
14128c5d76
15aee1cdc
hex77733b4

125252532 has 72 divisors (see below), whose sum is σ = 338659776. Its totient is φ = 38893824.

The previous prime is 125252527. The next prime is 125252539. The reversal of 125252532 is 235252521.

125252532 is a `hidden beast` number, since 125 + 2 + 5 + 2 + 532 = 666.

It is a super-2 number, since 2×1252525322 = 31376393544822048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125252496 and 125252505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125252539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62043 + ... + 64029.

It is an arithmetic number, because the mean of its divisors is an integer number (4703608).

Almost surely, 2125252532 is an apocalyptic number.

125252532 is a gapful number since it is divisible by the number (12) 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 125252532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169329888).

125252532 is an abundant number, since it is smaller than the sum of its proper divisors (213407244).

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

125252532 is a wasteful number, since it uses less digits than its factorization.

125252532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

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

The square root of 125252532 is about 11191.6277636455. The cubic root of 125252532 is about 500.3364828411.

The spelling of 125252532 in words is "one hundred twenty-five million, two hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 1987 3502 3708 3974 5253 5961 7004 7948 10506 11922 15759 17883 21012 23844 31518 33779 35766 63036 67558 71532 101337 135116 202674 204661 304011 405348 409322 608022 613983 818644 1216044 1227966 1841949 2455932 3479237 3683898 6958474 7367796 10437711 13916948 20875422 31313133 41750844 62626266 125252532