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125953992 = 23323156431
BaseRepresentation
bin1111000000111…
…10011111001000
322210000010101200
413200132133020
5224221011432
620255344200
73056406543
oct740363710
9283003350
10125953992
116510910a
1236222060
132012ccb8
1412a2985a
15b0cea7c
hex781e7c8

125953992 has 48 divisors (see below), whose sum is σ = 352135680. Its totient is φ = 40629600.

The previous prime is 125953991. The next prime is 125954039. The reversal of 125953992 is 299359521.

125953992 is a `hidden beast` number, since 1 + 25 + 9 + 539 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (125953991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25984 + ... + 30447.

It is an arithmetic number, because the mean of its divisors is an integer number (7336160).

Almost surely, 2125953992 is an apocalyptic number.

125953992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125953992 is an abundant number, since it is smaller than the sum of its proper divisors (226181688).

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

125953992 is a wasteful number, since it uses less digits than its factorization.

125953992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56474 (or 56467 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 125953992 is about 11222.9226140075. The cubic root of 125953992 is about 501.2687670703.

It can be divided in two parts, 12595399 and 2, that added together give a square (12595401 = 35492).

The spelling of 125953992 in words is "one hundred twenty-five million, nine hundred fifty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 56431 112862 169293 225724 338586 451448 507879 677172 1015758 1354344 1749361 2031516 3498722 4063032 5248083 6997444 10496166 13994888 15744249 20992332 31488498 41984664 62976996 125953992