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125235232 = 2519237293
BaseRepresentation
bin1110111011011…
…11000000100000
322201122121102221
413131233000200
5224030011412
620232120424
73050324203
oct735570040
9281577387
10125235232
11647680a1
1235b36114
131cc3aab5
14128bd93a
15aedbb07
hex776f020

125235232 has 72 divisors (see below), whose sum is σ = 268161516. Its totient is φ = 57521664.

The previous prime is 125235217. The next prime is 125235233. The reversal of 125235232 is 232532521.

It can be written as a sum of positive squares in 2 ways, for example, as 96118416 + 29116816 = 9804^2 + 5396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125235197 and 125235206.

It is not an unprimeable number, because it can be changed into a prime (125235233) 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 11 ways as a sum of consecutive naturals, for example, 427278 + ... + 427570.

Almost surely, 2125235232 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 125235232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134080758).

125235232 is an abundant number, since it is smaller than the sum of its proper divisors (142926284).

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

125235232 is a wasteful number, since it uses less digits than its factorization.

125235232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 351 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 125235232 is about 11190.8548377682. The cubic root of 125235232 is about 500.3134461287.

Adding to 125235232 its reverse (232532521), we get a palindrome (357767753).

The spelling of 125235232 in words is "one hundred twenty-five million, two hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 293 296 304 361 586 592 608 703 722 1172 1184 1406 1444 2344 2812 2888 4688 5567 5624 5776 9376 10841 11134 11248 11552 13357 21682 22268 22496 26714 43364 44536 53428 86728 89072 105773 106856 173456 178144 205979 211546 213712 346912 411958 423092 427424 823916 846184 1647832 1692368 3295664 3384736 3913601 6591328 7827202 15654404 31308808 62617616 125235232