Search a number
-
+
125656044 = 223172191907
BaseRepresentation
bin1110111110101…
…01101111101100
322202102222200120
413133111233230
5224131443134
620245124540
73054026103
oct737255754
9282388616
10125656044
1164a25278
12360b9750
13200574b7
141298d03a
15b071649
hex77d5bec

125656044 has 72 divisors (see below), whose sum is σ = 328023360. Its totient is φ = 37327104.

The previous prime is 125656039. The next prime is 125656081. The reversal of 125656044 is 440656521.

It is a junction number, because it is equal to n+sod(n) for n = 125655996 and 125656014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64939 + ... + 66845.

It is an arithmetic number, because the mean of its divisors is an integer number (4555880).

Almost surely, 2125656044 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 125656044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164011680).

125656044 is an abundant number, since it is smaller than the sum of its proper divisors (202367316).

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

125656044 is a wasteful number, since it uses less digits than its factorization.

125656044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 125656044 is about 11209.6406722071. The cubic root of 125656044 is about 500.8731994909.

The spelling of 125656044 in words is "one hundred twenty-five million, six hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1156 1292 1734 1907 1938 3468 3814 3876 5491 5721 7628 10982 11442 16473 21964 22884 32419 32946 36233 64838 65892 72466 97257 108699 129676 144932 194514 217398 389028 434796 551123 615961 1102246 1231922 1653369 1847883 2204492 2463844 3306738 3695766 6613476 7391532 10471337 20942674 31414011 41885348 62828022 125656044