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625967056 = 241113475821
BaseRepresentation
bin100101010011110…
…111111111010000
31121121212102101001
4211103313333100
52240221421211
6142040351344
721340426561
oct4523677720
91547772331
10625967056
112a1384350
12155775554
139c8bb010
145d1c6168
1539e4bac1
hex254f7fd0

625967056 has 80 divisors (see below), whose sum is σ = 1455406848. Its totient is φ = 257011200.

The previous prime is 625967033. The next prime is 625967087. The reversal of 625967056 is 650769526.

It is a junction number, because it is equal to n+sod(n) for n = 625966997 and 625967015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104626 + ... + 110446.

Almost surely, 2625967056 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 625967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727703424).

625967056 is an abundant number, since it is smaller than the sum of its proper divisors (829439792).

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

625967056 is a wasteful number, since it uses less digits than its factorization.

625967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 625967056 is about 25019.3336442040. Note that the first 3 decimals coincide. The cubic root of 625967056 is about 855.4287174300.

The spelling of 625967056 in words is "six hundred twenty-five million, nine hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 176 188 208 286 376 517 572 611 752 1034 1144 1222 2068 2288 2444 4136 4888 5821 6721 8272 9776 11642 13442 23284 26884 46568 53768 64031 75673 93136 107536 128062 151346 256124 273587 302692 512248 547174 605384 832403 1024496 1094348 1210768 1664806 2188696 3009457 3329612 3556631 4377392 6018914 6659224 7113262 12037828 13318448 14226524 24075656 28453048 39122941 48151312 56906096 78245882 156491764 312983528 625967056