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125426628 = 22323484073
BaseRepresentation
bin1110111100111…
…01101111000100
322202000022222200
413132131233010
5224102123003
620240154500
73052052205
oct736355704
9282008880
10125426628
1164888978
1236008a30
131cca6c52
141292d5ac
15b0286a3
hex779dbc4

125426628 has 18 divisors (see below), whose sum is σ = 317050734. Its totient is φ = 41808864.

The previous prime is 125426593. The next prime is 125426681. The reversal of 125426628 is 826624521.

It is a happy number.

125426628 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 26 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86713344 + 38713284 = 9312^2 + 6222^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1254266282 = 31463678022900768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3484073 = 125426628 / (1 + 2 + 5 + 4 + 2 + 6 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 125426592 and 125426601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1742001 + ... + 1742072.

Almost surely, 2125426628 is an apocalyptic number.

125426628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125426628 is an abundant number, since it is smaller than the sum of its proper divisors (191624106).

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

125426628 is a wasteful number, since it uses less digits than its factorization.

125426628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484083 (or 3484078 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 125426628 is about 11199.4030198042. The cubic root of 125426628 is about 500.5681914058.

The spelling of 125426628 in words is "one hundred twenty-five million, four hundred twenty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3484073 6968146 10452219 13936292 20904438 31356657 41808876 62713314 125426628