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6256224 = 253313557
BaseRepresentation
bin10111110111011001100000
3102202211221000
4113313121200
53100144344
6342032000
7104114502
oct27673140
912684830
106256224
113593437
122118600
1313b0810
14b8bd72
15838a69
hex5f7660

6256224 has 96 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 1921536.

The previous prime is 6256223. The next prime is 6256277. The reversal of 6256224 is 4226526.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10954 + ... + 11510.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 26256224 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 6256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

6256224 is an abundant number, since it is smaller than the sum of its proper divisors (13430016).

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

6256224 is a wasteful number, since it uses less digits than its factorization.

6256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

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

The square root of 6256224 is about 2501.2444902488. The cubic root of 6256224 is about 184.2626997451.

The spelling of 6256224 in words is "six million, two hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 557 624 702 864 936 1114 1248 1404 1671 1872 2228 2808 3342 3744 4456 5013 5616 6684 7241 8912 10026 11232 13368 14482 15039 17824 20052 21723 26736 28964 30078 40104 43446 53472 57928 60156 65169 80208 86892 115856 120312 130338 160416 173784 195507 231712 240624 260676 347568 391014 481248 521352 695136 782028 1042704 1564056 2085408 3128112 6256224