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56925216 = 253219101103
BaseRepresentation
bin1101100100100…
…1110000100000
310222010002201100
43121021300200
5104033101331
65352034400
71260566505
oct331116040
9128102640
1056925216
112a150837
1217092a00
13ba4157a
1477bb4ac
154ee6ae6
hex3649c20

56925216 has 144 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 17625600.

The previous prime is 56925199. The next prime is 56925221. The reversal of 56925216 is 61252965.

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 an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552621 + ... + 552723.

It is an arithmetic number, because the mean of its divisors is an integer number (1206660).

Almost surely, 256925216 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 56925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

56925216 is an abundant number, since it is smaller than the sum of its proper divisors (116833824).

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

56925216 is a wasteful number, since it uses less digits than its factorization.

56925216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56925216 is about 7544.8801183319. The cubic root of 56925216 is about 384.6817316846.

The spelling of 56925216 in words is "fifty-six million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 101 103 114 144 152 171 202 206 228 288 303 304 309 342 404 412 456 606 608 618 684 808 824 909 912 927 1212 1236 1368 1616 1648 1818 1824 1854 1919 1957 2424 2472 2736 3232 3296 3636 3708 3838 3914 4848 4944 5472 5757 5871 7272 7416 7676 7828 9696 9888 10403 11514 11742 14544 14832 15352 15656 17271 17613 20806 23028 23484 29088 29664 30704 31209 31312 34542 35226 41612 46056 46968 61408 62418 62624 69084 70452 83224 92112 93627 93936 124836 138168 140904 166448 184224 187254 187872 197657 249672 276336 281808 332896 374508 395314 499344 552672 563616 592971 749016 790628 998688 1185942 1498032 1581256 1778913 2371884 2996064 3162512 3557826 4743768 6325024 7115652 9487536 14231304 18975072 28462608 56925216