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56738448 = 24331310103
BaseRepresentation
bin1101100001110…
…0001010010000
310221202121112000
43120130022100
5104011112243
65344034000
71256161134
oct330341220
9127677460
1056738448
112a033488
1217002900
13b9a7560
14776d3c4
154eab5d3
hex361c290

56738448 has 80 divisors (see below), whose sum is σ = 175405440. Its totient is φ = 17456256.

The previous prime is 56738441. The next prime is 56738459. The reversal of 56738448 is 84483765.

56738448 is a `hidden beast` number, since 567 + 3 + 84 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (56738441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565 + ... + 10667.

It is an arithmetic number, because the mean of its divisors is an integer number (2192568).

Almost surely, 256738448 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 56738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87702720).

56738448 is an abundant number, since it is smaller than the sum of its proper divisors (118666992).

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

56738448 is a wasteful number, since it uses less digits than its factorization.

56738448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10121 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 56738448 is about 7532.4928144672. The cubic root of 56738448 is about 384.2605653394.

The spelling of 56738448 in words is "fifty-six million, seven hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 10103 20206 30309 40412 60618 80824 90927 121236 131339 161648 181854 242472 262678 272781 363708 394017 484944 525356 545562 727416 788034 1050712 1091124 1182051 1454832 1576068 2101424 2182248 2364102 3152136 3546153 4364496 4728204 6304272 7092306 9456408 14184612 18912816 28369224 56738448