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6425568 = 25343767
BaseRepresentation
bin11000100000101111100000
3110002110020000
4120200233200
53121104233
6345420000
7105421302
oct30405740
913073200
106425568
113699696
12219a600
13143c916
14bd3972
1586dd13
hex620be0

6425568 has 120 divisors (see below), whose sum is σ = 19697832. Its totient is φ = 2052864.

The previous prime is 6425567. The next prime is 6425593. The reversal of 6425568 is 8655246.

6425568 is a `hidden beast` number, since 642 + 5 + 5 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6425567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95871 + ... + 95937.

Almost surely, 26425568 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 6425568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848916).

6425568 is an abundant number, since it is smaller than the sum of its proper divisors (13272264).

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

6425568 is a wasteful number, since it uses less digits than its factorization.

6425568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6425568 is about 2534.8704108889. The cubic root of 6425568 is about 185.9104667946.

The spelling of 6425568 in words is "six million, four hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 67 72 74 81 96 108 111 134 144 148 162 201 216 222 268 288 296 324 333 402 432 444 536 592 603 648 666 804 864 888 999 1072 1184 1206 1296 1332 1608 1776 1809 1998 2144 2412 2479 2592 2664 2997 3216 3552 3618 3996 4824 4958 5328 5427 5994 6432 7236 7437 7992 9648 9916 10656 10854 11988 14472 14874 15984 19296 19832 21708 22311 23976 28944 29748 31968 39664 43416 44622 47952 57888 59496 66933 79328 86832 89244 95904 118992 133866 173664 178488 200799 237984 267732 356976 401598 535464 713952 803196 1070928 1606392 2141856 3212784 6425568