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625631328 = 25327310333
BaseRepresentation
bin100101010010100…
…110000001100000
31121121020100211200
4211102212001200
52240130200303
6142025241200
721334531020
oct4522460140
91547210750
10625631328
112a1175093
12155633200
139c80126a
145d139a80
1539dd23a3
hex254a6060

625631328 has 72 divisors (see below), whose sum is σ = 2033308368. Its totient is φ = 178751232.

The previous prime is 625631317. The next prime is 625631351. The reversal of 625631328 is 823136526.

It is a happy number.

625631328 is a `hidden beast` number, since 62 + 563 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 625631292 and 625631301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153151 + ... + 157182.

It is an arithmetic number, because the mean of its divisors is an integer number (28240394).

Almost surely, 2625631328 is an apocalyptic number.

It is an amenable number.

625631328 is an abundant number, since it is smaller than the sum of its proper divisors (1407677040).

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

625631328 is a wasteful number, since it uses less digits than its factorization.

625631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310356 (or 310345 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 625631328 is about 25012.6233730091. The cubic root of 625631328 is about 855.2757579791.

The spelling of 625631328 in words is "six hundred twenty-five million, six hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 310333 620666 930999 1241332 1861998 2172331 2482664 2792997 3723996 4344662 4965328 5585994 6516993 7447992 8689324 9930656 11171988 13033986 14895984 17378648 19550979 22343976 26067972 29791968 34757296 39101958 44687952 52135944 69514592 78203916 89375904 104271888 156407832 208543776 312815664 625631328