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56363904 = 273347347
BaseRepresentation
bin1101011100000…
…0101110000000
310221001120202000
43113000232000
5103412121104
65332024000
71253041152
oct327005600
9127046660
1056363904
11298a8043
1216a62000
13b8a5c2c
1476b2ad2
154e35639
hex35c0b80

56363904 has 128 divisors (see below), whose sum is σ = 170380800. Its totient is φ = 18335232.

The previous prime is 56363843. The next prime is 56363917. The reversal of 56363904 is 40936365.

56363904 is a `hidden beast` number, since 563 + 6 + 3 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 162259 + ... + 162605.

It is an arithmetic number, because the mean of its divisors is an integer number (1331100).

Almost surely, 256363904 is an apocalyptic number.

56363904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85190400).

56363904 is an abundant number, since it is smaller than the sum of its proper divisors (114016896).

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

56363904 is a wasteful number, since it uses less digits than its factorization.

56363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 56363904 is about 7507.5897597032. The cubic root of 56363904 is about 383.4131661496.

The spelling of 56363904 in words is "fifty-six million, three hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 282 288 347 376 384 423 432 564 576 694 752 846 864 1041 1128 1152 1269 1388 1504 1692 1728 2082 2256 2538 2776 3008 3123 3384 3456 4164 4512 5076 5552 6016 6246 6768 8328 9024 9369 10152 11104 12492 13536 16309 16656 18048 18738 20304 22208 24984 27072 32618 33312 37476 40608 44416 48927 49968 54144 65236 66624 74952 81216 97854 99936 130472 133248 146781 149904 162432 195708 199872 260944 293562 299808 391416 399744 440343 521888 587124 599616 782832 880686 1043776 1174248 1199232 1565664 1761372 2087552 2348496 3131328 3522744 4696992 6262656 7045488 9393984 14090976 18787968 28181952 56363904