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56824704 = 2732107461
BaseRepresentation
bin1101100011000…
…1001110000000
310221220222211200
43120301032000
5104021342304
65345541200
71260000456
oct330611600
9127828750
1056824704
112a092272
1217044800
13ba078b1
1477929d6
154ec6e39
hex3631380

56824704 has 96 divisors (see below), whose sum is σ = 165405240. Its totient is φ = 18723840.

The previous prime is 56824699. The next prime is 56824709. The reversal of 56824704 is 40742865.

56824704 is a `hidden beast` number, since 568 + 24 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56824699) and next prime (56824709).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56824709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123034 + ... + 123494.

Almost surely, 256824704 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 56824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82702620).

56824704 is an abundant number, since it is smaller than the sum of its proper divisors (108580536).

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

56824704 is a wasteful number, since it uses less digits than its factorization.

56824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 56824704 is about 7538.2162346274. The cubic root of 56824704 is about 384.4551893770.

The spelling of 56824704 in words is "fifty-six million, eight hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 461 576 642 856 922 963 1152 1284 1383 1712 1844 1926 2568 2766 3424 3688 3852 4149 5136 5532 6848 7376 7704 8298 10272 11064 13696 14752 15408 16596 20544 22128 29504 30816 33192 41088 44256 49327 59008 61632 66384 88512 98654 123264 132768 147981 177024 197308 265536 295962 394616 443943 531072 591924 789232 887886 1183848 1578464 1775772 2367696 3156928 3551544 4735392 6313856 7103088 9470784 14206176 18941568 28412352 56824704