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125468656 = 24311311931
BaseRepresentation
bin1110111101001…
…11111111110000
322202002110122021
413132213333300
5224104444111
620241121224
73052315555
oct736477760
9282073567
10125468656
1164907505
1236029214
131ccc0111
1412940a2c
15b035d71
hex77a7ff0

125468656 has 40 divisors (see below), whose sum is σ = 252983808. Its totient is φ = 60216000.

The previous prime is 125468593. The next prime is 125468659. The reversal of 125468656 is 656864521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125468659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64011 + ... + 65941.

Almost surely, 2125468656 is an apocalyptic number.

125468656 is a gapful number since it is divisible by the number (16) 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 125468656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126491904).

125468656 is an abundant number, since it is smaller than the sum of its proper divisors (127515152).

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

125468656 is a wasteful number, since it uses less digits than its factorization.

125468656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2095 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 125468656 is about 11201.2792126614. The cubic root of 125468656 is about 500.6240953525.

The spelling of 125468656 in words is "one hundred twenty-five million, four hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 1931 2096 3862 4061 7724 8122 15448 16244 30896 32488 59861 64976 119722 239444 252961 478888 505922 957776 1011844 2023688 4047376 7841791 15683582 31367164 62734328 125468656