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125378528 = 25111312719
BaseRepresentation
bin1110111100100…
…01111111100000
322201220220000012
413132101333200
5224044103103
620235144052
73051462032
oct736217740
9281826005
10125378528
1164855820
1235ba5028
131cc8b0a2
1412919c52
15b0192d8
hex7791fe0

125378528 has 48 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 56534400.

The previous prime is 125378489. The next prime is 125378531. The reversal of 125378528 is 825873521.

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, 44753 + ... + 47471.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2125378528 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 125378528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

125378528 is an abundant number, since it is smaller than the sum of its proper divisors (146055712).

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

125378528 is a wasteful number, since it uses less digits than its factorization.

125378528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its digits is 134400, while the sum is 41.

The square root of 125378528 is about 11197.2553779933. The cubic root of 125378528 is about 500.5041954031.

The spelling of 125378528 in words is "one hundred twenty-five million, three hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 2096 2719 2882 4192 5438 5764 10876 11528 21752 23056 29909 43504 46112 59818 87008 119636 239272 356189 478544 712378 957088 1424756 2849512 3918079 5699024 7836158 11398048 15672316 31344632 62689264 125378528