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125969472 = 2633269271
BaseRepresentation
bin1111000001000…
…10010001000000
322210000220122000
413200202101000
5224222010342
620255544000
73056502636
oct740422100
9283026560
10125969472
1165119802
123622b000
1320137065
1412a31356
15b0d444c
hex7822440

125969472 has 112 divisors (see below), whose sum is σ = 373075200. Its totient is φ = 41679360.

The previous prime is 125969429. The next prime is 125969477. The reversal of 125969472 is 274969521.

125969472 is a `hidden beast` number, since 12 + 596 + 9 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (125969477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464697 + ... + 464967.

Almost surely, 2125969472 is an apocalyptic number.

125969472 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 125969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

125969472 is an abundant number, since it is smaller than the sum of its proper divisors (247105728).

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

125969472 is a wasteful number, since it uses less digits than its factorization.

125969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 125969472 is about 11223.6122527464. The cubic root of 125969472 is about 501.2893018771.

The spelling of 125969472 in words is "one hundred twenty-five million, nine hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 269 271 288 432 538 542 576 807 813 864 1076 1084 1614 1626 1728 2152 2168 2421 2439 3228 3252 4304 4336 4842 4878 6456 6504 7263 7317 8608 8672 9684 9756 12912 13008 14526 14634 17216 17344 19368 19512 25824 26016 29052 29268 38736 39024 51648 52032 58104 58536 72899 77472 78048 116208 117072 145798 154944 156096 218697 232416 234144 291596 437394 464832 468288 583192 656091 874788 1166384 1312182 1749576 1968273 2332768 2624364 3499152 3936546 4665536 5248728 6998304 7873092 10497456 13996608 15746184 20994912 31492368 41989824 62984736 125969472