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125372672 = 281094493
BaseRepresentation
bin1110111100100…
…00100100000000
322201220120222022
413132100210000
5224043411142
620235101012
73051435665
oct736204400
9281816868
10125372672
1164851387
1235ba1768
131cc88519
1412917a6c
15b0176d2
hex7790900

125372672 has 36 divisors (see below), whose sum is σ = 252607740. Its totient is φ = 62097408.

The previous prime is 125372627. The next prime is 125372677. The reversal of 125372672 is 276273521.

It can be written as a sum of positive squares in 2 ways, for example, as 112869376 + 12503296 = 10624^2 + 3536^2 .

It is not an unprimeable number, because it can be changed into a prime (125372677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25658 + ... + 30150.

Almost surely, 2125372672 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 125372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126303870).

125372672 is an abundant number, since it is smaller than the sum of its proper divisors (127235068).

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

125372672 is an equidigital number, since it uses as much as digits as its factorization.

125372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4604 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 125372672 is about 11196.9938822882. The cubic root of 125372672 is about 500.4964030050.

The spelling of 125372672 in words is "one hundred twenty-five million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 4493 6976 8986 13952 17972 27904 35944 71888 143776 287552 489737 575104 979474 1150208 1958948 3917896 7835792 15671584 31343168 62686336 125372672