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56316864 = 2631372141
BaseRepresentation
bin1101011011010…
…1001111000000
310220222012012210
43112311033000
5103404114424
65331022120
71252454052
oct326651700
9126865183
1056316864
112987576a
1216a3a940
13b88a6b6
14769d8d2
154e26729
hex35b53c0

56316864 has 56 divisors (see below), whose sum is σ = 150162768. Its totient is φ = 18626560.

The previous prime is 56316859. The next prime is 56316881. The reversal of 56316864 is 46861365.

56316864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25234 + ... + 27374.

It is an arithmetic number, because the mean of its divisors is an integer number (2681478).

Almost surely, 256316864 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 56316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75081384).

56316864 is an abundant number, since it is smaller than the sum of its proper divisors (93845904).

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

56316864 is a wasteful number, since it uses less digits than its factorization.

56316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 56316864 is about 7504.4562761069. The cubic root of 56316864 is about 383.3064739005.

The spelling of 56316864 in words is "fifty-six million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2141 2192 3288 4282 4384 6423 6576 8564 8768 12846 13152 17128 25692 26304 34256 51384 68512 102768 137024 205536 293317 411072 586634 879951 1173268 1759902 2346536 3519804 4693072 7039608 9386144 14079216 18772288 28158432 56316864