Search a number
-
+
625725672 = 2331113237927
BaseRepresentation
bin100101010010111…
…101000011101000
31121121102011020220
4211102331003220
52240141210142
6142031250040
721335403045
oct4522750350
91547364226
10625725672
112a1229a60
12155679920
139c8351a0
145d1621cc
1539e002ec
hex254bd0e8

625725672 has 128 divisors (see below), whose sum is σ = 1917941760. Its totient is φ = 167397120.

The previous prime is 625725671. The next prime is 625725673. The reversal of 625725672 is 276527526.

It is an interprime number because it is at equal distance from previous prime (625725671) and next prime (625725673).

It is not an unprimeable number, because it can be changed into a prime (625725671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74973 + ... + 82899.

It is an arithmetic number, because the mean of its divisors is an integer number (14983920).

Almost surely, 2625725672 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 625725672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958970880).

625725672 is an abundant number, since it is smaller than the sum of its proper divisors (1292216088).

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

625725672 is a wasteful number, since it uses less digits than its factorization.

625725672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7979 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 625725672 is about 25014.5092296451. The cubic root of 625725672 is about 855.3187471310.

The spelling of 625725672 in words is "six hundred twenty-five million, seven hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 78 88 92 104 132 138 143 156 184 253 264 276 286 299 312 429 506 552 572 598 759 858 897 1012 1144 1196 1518 1716 1794 2024 2392 3036 3289 3432 3588 6072 6578 7176 7927 9867 13156 15854 19734 23781 26312 31708 39468 47562 63416 78936 87197 95124 103051 174394 182321 190248 206102 261591 309153 348788 364642 412204 523182 546963 618306 697576 729284 824408 1046364 1093926 1133561 1236612 1458568 2005531 2092728 2187852 2267122 2370173 2473224 3400683 4011062 4375704 4534244 4740346 6016593 6801366 7110519 8022124 9068488 9480692 12033186 13602732 14221038 16044248 18961384 24066372 26071903 27205464 28442076 48132744 52143806 56884152 78215709 104287612 156431418 208575224 312862836 625725672