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125436252 = 223192961311
BaseRepresentation
bin1110111101000…
…00000101011100
322202000211012010
413132200011130
5224102430002
620240311220
73052122234
oct736400534
9282024163
10125436252
1164895127
1236012510
131ccab446
1412932cc4
15b02b46c
hex77a015c

125436252 has 96 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 37497600.

The previous prime is 125436211. The next prime is 125436263. The reversal of 125436252 is 252634521.

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 31 ways as a sum of consecutive naturals, for example, 403177 + ... + 403487.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2125436252 is an apocalyptic number.

125436252 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 125436252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

125436252 is an abundant number, since it is smaller than the sum of its proper divisors (199542948).

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

125436252 is a wasteful number, since it uses less digits than its factorization.

125436252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 125436252 is about 11199.8326773216. The cubic root of 125436252 is about 500.5809939639.

The spelling of 125436252 in words is "one hundred twenty-five million, four hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 61 76 87 114 116 122 174 183 228 244 311 348 366 551 622 732 933 1102 1159 1244 1653 1769 1866 2204 2318 3306 3477 3538 3732 4636 5307 5909 6612 6954 7076 9019 10614 11818 13908 17727 18038 18971 21228 23636 27057 33611 35454 36076 37942 54114 56913 67222 70908 75884 100833 108228 113826 134444 171361 201666 227652 342722 360449 403332 514083 550159 685444 720898 1028166 1081347 1100318 1441796 1650477 2056332 2162694 2200636 3300954 4325388 6601908 10453021 20906042 31359063 41812084 62718126 125436252