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56360064 = 273317463
BaseRepresentation
bin1101011011111…
…1110010000000
310221001101110210
43112333302000
5103412010224
65331554120
71253024025
oct326776200
9127041423
1056360064
11298a5172
1216a5b940
13b8a4267
1476b154c
154e34429
hex35bfc80

56360064 has 64 divisors (see below), whose sum is σ = 150503040. Its totient is φ = 18686976.

The previous prime is 56360063. The next prime is 56360069. The reversal of 56360064 is 46006365.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (56360063) 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, 121497 + ... + 121959.

It is an arithmetic number, because the mean of its divisors is an integer number (2351610).

Almost surely, 256360064 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 56360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75251520).

56360064 is an abundant number, since it is smaller than the sum of its proper divisors (94142976).

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

56360064 is a wasteful number, since it uses less digits than its factorization.

56360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56360064 is about 7507.3340141491. The cubic root of 56360064 is about 383.4044588039.

The spelling of 56360064 in words is "fifty-six million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 317 384 463 634 926 951 1268 1389 1852 1902 2536 2778 3704 3804 5072 5556 7408 7608 10144 11112 14816 15216 20288 22224 29632 30432 40576 44448 59264 60864 88896 121728 146771 177792 293542 440313 587084 880626 1174168 1761252 2348336 3522504 4696672 7045008 9393344 14090016 18786688 28180032 56360064