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6256404 = 22327113761
BaseRepresentation
bin10111110111011100010100
3102202212011200
4113313130110
53100201104
6342032500
7104115150
oct27673424
912685150
106256404
113593590
122118730
1313b091b
14b8c060
15838b39
hex5f7714

6256404 has 144 divisors (see below), whose sum is σ = 20582016. Its totient is φ = 1555200.

The previous prime is 6256381. The next prime is 6256409. The reversal of 6256404 is 4046526.

It is a happy number.

6256404 is a `hidden beast` number, since 6 + 256 + 404 = 666.

It is a super-2 number, since 2×62564042 = 78285182022432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102534 + ... + 102594.

Almost surely, 26256404 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 6256404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291008).

6256404 is an abundant number, since it is smaller than the sum of its proper divisors (14325612).

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

6256404 is a wasteful number, since it uses less digits than its factorization.

6256404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6256404 is about 2501.2804720783. The cubic root of 6256404 is about 184.2644668903.

The spelling of 6256404 in words is "six million, two hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 61 63 66 74 77 84 99 111 122 126 132 148 154 183 198 222 231 244 252 259 308 333 366 396 407 427 444 462 518 549 666 671 693 732 777 814 854 924 1036 1098 1221 1281 1332 1342 1386 1554 1628 1708 2013 2196 2257 2331 2442 2562 2684 2772 2849 3108 3663 3843 4026 4514 4662 4697 4884 5124 5698 6039 6771 7326 7686 8052 8547 9028 9324 9394 11396 12078 13542 14091 14652 15372 15799 17094 18788 20313 24156 24827 25641 27084 28182 31598 34188 40626 42273 47397 49654 51282 56364 63196 74481 81252 84546 94794 99308 102564 142191 148962 169092 173789 189588 223443 284382 297924 347578 446886 521367 568764 695156 893772 1042734 1564101 2085468 3128202 6256404