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56067648 = 2637133209
BaseRepresentation
bin1101010111100…
…0011001000000
310220111112100120
43111320121000
5103323131043
65321420240
71250365350
oct325703100
9126445316
1056067648
11297154aa
121693a680
13b801130
147636b60
154dc7983
hex3578640

56067648 has 112 divisors (see below), whose sum is σ = 182636160. Its totient is φ = 14782464.

The previous prime is 56067637. The next prime is 56067703. The reversal of 56067648 is 84676065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15868 + ... + 19076.

It is an arithmetic number, because the mean of its divisors is an integer number (1630680).

Almost surely, 256067648 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 56067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91318080).

56067648 is an abundant number, since it is smaller than the sum of its proper divisors (126568512).

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

56067648 is a wasteful number, since it uses less digits than its factorization.

56067648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 56067648 is about 7487.8333314785. The cubic root of 56067648 is about 382.7402292880.

The spelling of 56067648 in words is "fifty-six million, sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3209 4368 5824 6418 8736 9627 12836 17472 19254 22463 25672 38508 41717 44926 51344 67389 77016 83434 89852 102688 125151 134778 154032 166868 179704 205376 250302 269556 292019 308064 333736 359408 500604 539112 584038 616128 667472 718816 876057 1001208 1078224 1168076 1334944 1437632 1752114 2002416 2156448 2336152 2669888 3504228 4004832 4312896 4672304 7008456 8009664 9344608 14016912 18689216 28033824 56067648