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625001364 = 2232136121893
BaseRepresentation
bin100101010000001…
…100001110010100
31121120001100200200
4211100030032110
52240000020424
6142003540500
721326265261
oct4520141624
91546040620
10625001364
112a0884859
1215538a730
139c6405c0
145d014268
1539d0a8c9
hex2540c394

625001364 has 72 divisors (see below), whose sum is σ = 1729363272. Its totient is φ = 189146880.

The previous prime is 625001339. The next prime is 625001389. The reversal of 625001364 is 463100526.

625001364 is a `hidden beast` number, since 625 + 0 + 0 + 1 + 36 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (625001339) and next prime (625001389).

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 624500100 = 708^2 + 24990^2 .

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 23 ways as a sum of consecutive naturals, for example, 17602 + ... + 39494.

Almost surely, 2625001364 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 625001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864681636).

625001364 is an abundant number, since it is smaller than the sum of its proper divisors (1104361908).

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

625001364 is a wasteful number, since it uses less digits than its factorization.

625001364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21977 (or 21972 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 625001364 is about 25000.0272799851. The cubic root of 625001364 is about 854.9885953131.

The spelling of 625001364 in words is "six hundred twenty-five million, one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 21893 28548 43786 65679 87572 131358 197037 262716 284609 394074 569218 788148 853827 1138436 1335473 1707654 2561481 2670946 3415308 4006419 5122962 5341892 8012838 10245924 12019257 16025676 17361149 24038514 34722298 48077028 52083447 69444596 104166894 156250341 208333788 312500682 625001364