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56795648 = 297132353
BaseRepresentation
bin1101100010101…
…0001000000000
310221212111222112
43120222020000
5104014430043
65345154452
71256516660
oct330521000
9127774875
1056795648
112a072458
121702ba28
13b9c75c0
1477861a0
154ebd518
hex362a200

56795648 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 21086208.

The previous prime is 56795603. The next prime is 56795653. The reversal of 56795648 is 84659765.

It is a junction number, because it is equal to n+sod(n) for n = 56795596 and 56795605.

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, 1071590 + ... + 1071642.

Almost surely, 256795648 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 56795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

56795648 is an abundant number, since it is smaller than the sum of its proper divisors (91694848).

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

56795648 is a wasteful number, since it uses less digits than its factorization.

56795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The square root of 56795648 is about 7536.2887418145. The cubic root of 56795648 is about 384.3896507779.

The spelling of 56795648 in words is "fifty-six million, seven hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 53 56 64 91 92 104 106 112 128 161 182 184 208 212 224 256 299 322 364 368 371 416 424 448 512 598 644 689 728 736 742 832 848 896 1196 1219 1288 1378 1456 1472 1484 1664 1696 1792 2093 2392 2438 2576 2756 2912 2944 2968 3328 3392 3584 4186 4784 4823 4876 5152 5512 5824 5888 5936 6656 6784 8372 8533 9568 9646 9752 10304 11024 11648 11776 11872 13568 15847 16744 17066 19136 19292 19504 20608 22048 23296 23744 27136 31694 33488 34132 38272 38584 39008 41216 44096 46592 47488 63388 66976 68264 76544 77168 78016 82432 88192 94976 110929 126776 133952 136528 153088 154336 156032 176384 189952 221858 253552 267904 273056 308672 312064 352768 443716 507104 535808 546112 617344 624128 887432 1014208 1071616 1092224 1234688 1774864 2028416 2184448 2469376 3549728 4056832 4368896 7099456 8113664 14198912 28397824 56795648