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56560224 = 2537174951
BaseRepresentation
bin1101011111000…
…0101001100000
310221102120001010
43113300221200
5103434411344
65340140520
71254516420
oct327605140
9127376033
1056560224
1129a21596
1216b37740
13b9443b6
147724480
154e738b9
hex35f0a60

56560224 has 96 divisors (see below), whose sum is σ = 179698176. Its totient is φ = 15206400.

The previous prime is 56560219. The next prime is 56560249. The reversal of 56560224 is 42206565.

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

It is a junction number, because it is equal to n+sod(n) for n = 56560191 and 56560200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8949 + ... + 13899.

It is an arithmetic number, because the mean of its divisors is an integer number (1871856).

Almost surely, 256560224 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 56560224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89849088).

56560224 is an abundant number, since it is smaller than the sum of its proper divisors (123137952).

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

56560224 is a wasteful number, since it uses less digits than its factorization.

56560224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56560224 is about 7520.6531631235. The cubic root of 56560224 is about 383.8578032532.

Adding to 56560224 its reverse (42206565), we get a palindrome (98766789).

The spelling of 56560224 in words is "fifty-six million, five hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4951 5712 9902 11424 14853 19804 29706 34657 39608 59412 69314 79216 84167 103971 118824 138628 158432 168334 207942 237648 252501 277256 336668 415884 475296 505002 554512 589169 673336 831768 1010004 1109024 1178338 1346672 1663536 1767507 2020008 2356676 2693344 3327072 3535014 4040016 4713352 7070028 8080032 9426704 14140056 18853408 28280112 56560224