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125332608 = 273714597
BaseRepresentation
bin1110111100001…
…10110010000000
322201211120000110
413132012302000
5224041120413
620234151320
73051211122
oct736066200
9281746013
10125332608
1164824275
1235b82540
131cc7320b
1412907212
15b00a8c3
hex7786c80

125332608 has 64 divisors (see below), whose sum is σ = 337677120. Its totient is φ = 41180160.

The previous prime is 125332601. The next prime is 125332639. The reversal of 125332608 is 806233521.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (125332601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24966 + ... + 29562.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2125332608 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 125332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560).

125332608 is an abundant number, since it is smaller than the sum of its proper divisors (212344512).

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

125332608 is an equidigital number, since it uses as much as digits as its factorization.

125332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 125332608 is about 11195.2046877223. The cubic root of 125332608 is about 500.4430845695.

The spelling of 125332608 in words is "one hundred twenty-five million, three hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 4597 6816 9088 9194 13632 13791 18388 27264 27582 36776 55164 73552 110328 147104 220656 294208 326387 441312 588416 652774 882624 979161 1305548 1765248 1958322 2611096 3916644 5222192 7833288 10444384 15666576 20888768 31333152 41777536 62666304 125332608