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56497560 = 23357103653
BaseRepresentation
bin1101011110000…
…1010110011000
310221022101002020
43113201112120
5103430410220
65334534440
71254135630
oct327412630
9127271066
1056497560
11299894a9
1216b07420
13b921a12
1477096c0
154e60040
hex35e1598

56497560 has 128 divisors (see below), whose sum is σ = 195886080. Its totient is φ = 12768768.

The previous prime is 56497559. The next prime is 56497589. The reversal of 56497560 is 6579465.

56497560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 86194 + ... + 86846.

It is an arithmetic number, because the mean of its divisors is an integer number (1530360).

Almost surely, 256497560 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 56497560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97943040).

56497560 is an abundant number, since it is smaller than the sum of its proper divisors (139388520).

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

56497560 is a wasteful number, since it uses less digits than its factorization.

56497560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 56497560 is about 7516.4858810484. The cubic root of 56497560 is about 383.7159900823.

The spelling of 56497560 in words is "fifty-six million, four hundred ninety-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 653 721 824 840 1030 1236 1306 1442 1545 1959 2060 2163 2472 2612 2884 3090 3265 3605 3918 4120 4326 4571 5224 5768 6180 6530 7210 7836 8652 9142 9795 10815 12360 13060 13713 14420 15672 17304 18284 19590 21630 22855 26120 27426 28840 36568 39180 43260 45710 54852 67259 68565 78360 86520 91420 109704 134518 137130 182840 201777 269036 274260 336295 403554 470813 538072 548520 672590 807108 941626 1008885 1345180 1412439 1614216 1883252 2017770 2354065 2690360 2824878 3766504 4035540 4708130 5649756 7062195 8071080 9416260 11299512 14124390 18832520 28248780 56497560