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957053125 = 55767653
BaseRepresentation
bin111001000010110…
…111100011000101
32110200212100002001
4321002313203011
53430001200000
6234544545301
732500550230
oct7102674305
92420770061
10957053125
114512601a6
12228622231
13123381232
149116c417
155904b46a
hex390b78c5

957053125 has 48 divisors (see below), whose sum is σ = 1389661056. Its totient is φ = 645480000.

The previous prime is 957053113. The next prime is 957053177. The reversal of 957053125 is 521350759.

It is a happy number.

957053125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

957053125 is a nontrivial binomial coefficient, being equal to C(43751, 2).

It is not a de Polignac number, because 957053125 - 215 = 957020357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465299 + ... + 1465951.

It is an arithmetic number, because the mean of its divisors is an integer number (28951272).

Almost surely, 2957053125 is an apocalyptic number.

957053125 is the 43750-th triangular number.

957053125 is the 14584-th centered nonagonal number.

It is an amenable number.

957053125 is a deficient number, since it is larger than the sum of its proper divisors (432607931).

957053125 is an frugal number, since it uses more digits than its factorization.

957053125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 37.

The square root of 957053125 is about 30936.2752282818. The cubic root of 957053125 is about 985.4744036502.

The spelling of 957053125 in words is "nine hundred fifty-seven million, fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 67 125 175 335 469 625 653 875 1675 2345 3125 3265 4375 4571 8375 11725 16325 21875 22855 41875 43751 58625 81625 114275 209375 218755 293125 306257 408125 571375 1093775 1465625 1531285 2040625 2856875 5468875 7656425 14284375 27344375 38282125 136721875 191410625 957053125