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56000016 = 24321572477
BaseRepresentation
bin1101010110011…
…1111000010000
310220101002120200
43111213320100
5103314000031
65320135200
71246664232
oct325477020
9126332520
1056000016
1129679706
1216907500
13b7a9407
14761a252
154db28e6
hex3567e10

56000016 has 60 divisors (see below), whose sum is σ = 157784172. Its totient is φ = 18540288.

The previous prime is 56000003. The next prime is 56000029. The reversal of 56000016 is 61000065.

56000016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56000003) and next prime (56000029).

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 33872400 = 4704^2 + 5820^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 21370 + ... + 23846.

Almost surely, 256000016 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 56000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78892086).

56000016 is an abundant number, since it is smaller than the sum of its proper divisors (101784156).

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

56000016 is a wasteful number, since it uses less digits than its factorization.

56000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56000016 is about 7483.3158425928. The cubic root of 56000016 is about 382.5862729913.

The spelling of 56000016 in words is "fifty-six million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2477 2512 2826 3768 4954 5652 7431 7536 9908 11304 14862 19816 22293 22608 29724 39632 44586 59448 89172 118896 178344 356688 388889 777778 1166667 1555556 2333334 3111112 3500001 4666668 6222224 7000002 9333336 14000004 18666672 28000008 56000016