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56002656 = 2531793259
BaseRepresentation
bin1101010110100…
…0100001100000
310220101020012110
43111220201200
5103314041111
65320155320
71250005023
oct325504140
9126336173
1056002656
1129680696
1216908b40
13b7aa688
14761b1ba
154db35a6
hex3568860

56002656 has 48 divisors (see below), whose sum is σ = 147873600. Its totient is φ = 18557568.

The previous prime is 56002651. The next prime is 56002657. The reversal of 56002656 is 65620065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56002651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15555 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (3080700).

Almost surely, 256002656 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 56002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73936800).

56002656 is an abundant number, since it is smaller than the sum of its proper divisors (91870944).

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

56002656 is a wasteful number, since it uses less digits than its factorization.

56002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56002656 is about 7483.4922329084. The cubic root of 56002656 is about 382.5922849651.

It can be divided in two parts, 5600 and 2656, that added together give a triangular number (8256 = T128).

The spelling of 56002656 in words is "fifty-six million, two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 3259 4296 5728 6518 8592 9777 13036 17184 19554 26072 39108 52144 78216 104288 156432 312864 583361 1166722 1750083 2333444 3500166 4666888 7000332 9333776 14000664 18667552 28001328 56002656