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56318736 = 24319371669
BaseRepresentation
bin1101011011010…
…1101100010000
310220222021210010
43112311230100
5103404144421
65331034520
71252462365
oct326655420
9126867703
1056318736
1129877111
1216a3ba40
13b88b4c6
1476a046c
154e27076
hex35b5b10

56318736 has 80 divisors (see below), whose sum is σ = 157380800. Its totient is φ = 17293824.

The previous prime is 56318729. The next prime is 56318741. The reversal of 56318736 is 63781365.

56318736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56318694 and 56318703.

It is a congruent number.

It is an unprimeable number.

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, 32910 + ... + 34578.

It is an arithmetic number, because the mean of its divisors is an integer number (1967260).

Almost surely, 256318736 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 56318736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78690400).

56318736 is an abundant number, since it is smaller than the sum of its proper divisors (101062064).

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

56318736 is a wasteful number, since it uses less digits than its factorization.

56318736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 56318736 is about 7504.5810009620. The cubic root of 56318736 is about 383.3107209514.

The spelling of 56318736 in words is "fifty-six million, three hundred eighteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1669 1776 2109 2812 3338 4218 5007 5624 6676 8436 10014 11248 13352 16872 20028 26704 31711 33744 40056 61753 63422 80112 95133 123506 126844 185259 190266 247012 253688 370518 380532 494024 507376 741036 761064 988048 1173307 1482072 1522128 2346614 2964144 3519921 4693228 7039842 9386456 14079684 18772912 28159368 56318736