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5684256 = 25351743
BaseRepresentation
bin10101101011110000100000
3101200210100000
4111223300200
52423344011
6321500000
766213114
oct25536040
911623300
105684256
113232736
121aa1600
131240386
14a7d744
15774356
hex56bc20

5684256 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1741824.

The previous prime is 5684233. The next prime is 5684257. The reversal of 5684256 is 6524865.

5684256 is a `hidden beast` number, since 568 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5684256.

It is not an unprimeable number, because it can be changed into a prime (5684257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132171 + ... + 132213.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 25684256 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 5684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

5684256 is an abundant number, since it is smaller than the sum of its proper divisors (12477888).

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

5684256 is a wasteful number, since it uses less digits than its factorization.

5684256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

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

The square root of 5684256 is about 2384.1677793310. The cubic root of 5684256 is about 178.4669806871.

The spelling of 5684256 in words is "five million, six hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 43 48 51 54 68 72 81 86 96 102 108 129 136 144 153 162 172 204 216 243 258 272 288 306 324 344 387 408 432 459 486 516 544 612 648 688 731 774 816 864 918 972 1032 1161 1224 1296 1376 1377 1462 1548 1632 1836 1944 2064 2193 2322 2448 2592 2754 2924 3096 3483 3672 3888 4128 4131 4386 4644 4896 5508 5848 6192 6579 6966 7344 7776 8262 8772 9288 10449 11016 11696 12384 13158 13932 14688 16524 17544 18576 19737 20898 22032 23392 26316 27864 33048 35088 37152 39474 41796 44064 52632 55728 59211 66096 70176 78948 83592 105264 111456 118422 132192 157896 167184 177633 210528 236844 315792 334368 355266 473688 631584 710532 947376 1421064 1894752 2842128 5684256