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125097232 = 24134114669
BaseRepresentation
bin1110111010011…
…01010100010000
322201101121010211
413131031110100
5224011102412
620225133504
73046210651
oct735152420
9281347124
10125097232
1164683447
1235a8a294
131cbc0040
1412885528
15aeb0ca7
hex774d510

125097232 has 40 divisors (see below), whose sum is σ = 267404760. Its totient is φ = 56325120.

The previous prime is 125097227. The next prime is 125097233. The reversal of 125097232 is 232790521.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 125081856 = 124^2 + 11184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125097194 and 125097203.

It is not an unprimeable number, because it can be changed into a prime (125097233) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 15862.

It is an arithmetic number, because the mean of its divisors is an integer number (6685119).

Almost surely, 2125097232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125097232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133702380).

125097232 is an abundant number, since it is smaller than the sum of its proper divisors (142307528).

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

125097232 is a wasteful number, since it uses less digits than its factorization.

125097232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14731 (or 14725 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 125097232 is about 11184.6873894624. The cubic root of 125097232 is about 500.1296090667.

The spelling of 125097232 in words is "one hundred twenty-five million, ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 14669 29338 58676 117352 190697 234704 381394 601429 762788 1202858 1525576 2405716 3051152 4811432 7818577 9622864 15637154 31274308 62548616 125097232