Search a number
-
+
56057904 = 24327192927
BaseRepresentation
bin1101010111011…
…0000000110000
310220111000222200
43111312000300
5103322323104
65321303200
71250325060
oct325660060
9126430880
1056057904
1129709151
1216934b00
13b7c9876
1476333a0
154dc4b39
hex3576030

56057904 has 120 divisors (see below), whose sum is σ = 188797440. Its totient is φ = 15168384.

The previous prime is 56057873. The next prime is 56057917. The reversal of 56057904 is 40975065.

56057904 is a `hidden beast` number, since 560 + 5 + 7 + 90 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17689 + ... + 20615.

It is an arithmetic number, because the mean of its divisors is an integer number (1573312).

Almost surely, 256057904 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 56057904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94398720).

56057904 is an abundant number, since it is smaller than the sum of its proper divisors (132739536).

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

56057904 is a wasteful number, since it uses less digits than its factorization.

56057904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56057904 is about 7487.1826476987. The cubic root of 56057904 is about 382.7180558541.

The spelling of 56057904 in words is "fifty-six million, fifty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 2927 3192 4788 5854 6384 8781 9576 11708 17562 19152 20489 23416 26343 35124 40978 46832 52686 55613 61467 70248 81956 105372 111226 122934 140496 163912 166839 184401 210744 222452 245868 327824 333678 368802 389291 421488 444904 491736 500517 667356 737604 778582 889808 983472 1001034 1167873 1334712 1475208 1557164 2002068 2335746 2669424 2950416 3114328 3503619 4004136 4671492 6228656 7007238 8008272 9342984 14014476 18685968 28028952 56057904