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957125952 = 26321661677
BaseRepresentation
bin111001000011001…
…001010101000000
32110201000000222100
4321003021111000
53430011012302
6234550310400
732501302446
oct7103112500
92421000870
10957125952
114512aa992
12228658400
131233a8423
149118ab96
1559062d1c
hex390c9540

957125952 has 42 divisors (see below), whose sum is σ = 2743430378. Its totient is φ = 319041792.

The previous prime is 957125921. The next prime is 957125987. The reversal of 957125952 is 259521759.

957125952 is a `hidden beast` number, since 9 + 57 + 1 + 2 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 481188096 + 475937856 = 21936^2 + 21816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 957125898 and 957125907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 830263 + ... + 831414.

Almost surely, 2957125952 is an apocalyptic number.

It is an amenable number.

957125952 is an abundant number, since it is smaller than the sum of its proper divisors (1786304426).

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

957125952 is a wasteful number, since it uses less digits than its factorization.

957125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661695 (or 1661682 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The square root of 957125952 is about 30937.4522545086. The cubic root of 957125952 is about 985.4993995890.

The spelling of 957125952 in words is "nine hundred fifty-seven million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1661677 3323354 4985031 6646708 9970062 13293416 14955093 19940124 26586832 29910186 39880248 53173664 59820372 79760496 106347328 119640744 159520992 239281488 319041984 478562976 957125952