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56156256 = 25321353283
BaseRepresentation
bin1101011000111…
…0000001100000
310220200000220100
43112032001200
5103334000011
65323342400
71251214602
oct326160140
9126600810
1056156256
1129776032
1216981a00
13b832570
14765b172
154de3d56
hex358e060

56156256 has 144 divisors (see below), whose sum is σ = 175842576. Its totient is φ = 16892928.

The previous prime is 56156239. The next prime is 56156257. The reversal of 56156256 is 65265165.

It is a happy number.

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 56156256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56156257) 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, 198291 + ... + 198573.

It is an arithmetic number, because the mean of its divisors is an integer number (1221129).

Almost surely, 256156256 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 56156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87921288).

56156256 is an abundant number, since it is smaller than the sum of its proper divisors (119686320).

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

56156256 is a wasteful number, since it uses less digits than its factorization.

56156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 56156256 is about 7493.7477939947. The cubic root of 56156256 is about 382.9417477367.

The spelling of 56156256 in words is "fifty-six million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 283 288 312 318 416 424 468 477 566 624 636 689 848 849 936 954 1132 1248 1272 1378 1696 1698 1872 1908 2067 2264 2544 2547 2756 3396 3679 3744 3816 4134 4528 5088 5094 5512 6201 6792 7358 7632 8268 9056 10188 11024 11037 12402 13584 14716 14999 15264 16536 20376 22048 22074 24804 27168 29432 29998 33072 33111 40752 44148 44997 49608 58864 59996 66144 66222 81504 88296 89994 99216 117728 119992 132444 134991 176592 179988 194987 198432 239984 264888 269982 353184 359976 389974 479968 529776 539964 584961 719952 779948 1059552 1079928 1169922 1439904 1559896 1754883 2159856 2339844 3119792 3509766 4319712 4679688 6239584 7019532 9359376 14039064 18718752 28078128 56156256