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56190816 = 25321117737
BaseRepresentation
bin1101011001011…
…0011101100000
310220201210022100
43112112131200
5103341101231
65324210400
71251420423
oct326263540
9126653270
1056190816
1129799aa0
1216999a00
13b845206
1476699ba
154dee1e6
hex3596760

56190816 has 72 divisors (see below), whose sum is σ = 174329064. Its totient is φ = 17026560.

The previous prime is 56190811. The next prime is 56190857. The reversal of 56190816 is 61809165.

56190816 is a `hidden beast` number, since 561 + 90 + 8 + 1 + 6 = 666.

56190816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (56190811) by changing a digit.

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, 5701 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (2421237).

Almost surely, 256190816 is an apocalyptic number.

It is an amenable number.

56190816 is an abundant number, since it is smaller than the sum of its proper divisors (118138248).

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

56190816 is a wasteful number, since it uses less digits than its factorization.

56190816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17764 (or 17753 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56190816 is about 7496.0533616030. The cubic root of 56190816 is about 383.0202890174.

The spelling of 56190816 in words is "fifty-six million, one hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 17737 35474 53211 70948 106422 141896 159633 195107 212844 283792 319266 390214 425688 567584 585321 638532 780428 851376 1170642 1277064 1560856 1702752 1755963 2341284 2554128 3121712 3511926 4682568 5108256 6243424 7023852 9365136 14047704 18730272 28095408 56190816