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56455616 = 267235479
BaseRepresentation
bin1101011101011…
…1000111000000
310221020020112202
43113113013000
5103423034431
65334012332
71253602430
oct327270700
9127206482
1056455616
112995aa38
1216aa70a8
13b9088b9
1476d82c0
154e528cb
hex35d71c0

56455616 has 56 divisors (see below), whose sum is σ = 133624320. Its totient is φ = 23139072.

The previous prime is 56455613. The next prime is 56455621. The reversal of 56455616 is 61655465.

56455616 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 (56).

It is a self number, because there is not a number n which added to its sum of digits gives 56455616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56455613) 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 7 ways as a sum of consecutive naturals, for example, 7565 + ... + 13043.

Almost surely, 256455616 is an apocalyptic number.

56455616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66812160).

56455616 is an abundant number, since it is smaller than the sum of its proper divisors (77168704).

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

56455616 is a wasteful number, since it uses less digits than its factorization.

56455616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5511 counting only the distinct ones).

The product of its digits is 108000, while the sum is 38.

The square root of 56455616 is about 7513.6952293795. The cubic root of 56455616 is about 383.6210091779.

The spelling of 56455616 in words is "fifty-six million, four hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 5479 10304 10958 21916 38353 43832 76706 87664 126017 153412 175328 252034 306824 350656 504068 613648 882119 1008136 1227296 1764238 2016272 2454592 3528476 4032544 7056952 8065088 14113904 28227808 56455616