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56453616 = 24323071277
BaseRepresentation
bin1101011101011…
…0100111110000
310221020010210200
43113112213300
5103423003431
65333555200
71253563542
oct327264760
9127203720
1056453616
112995948a
1216aa5b00
13b907a0b
1476d7692
154e51ee6
hex35d69f0

56453616 has 60 divisors (see below), whose sum is σ = 158630472. Its totient is φ = 18741888.

The previous prime is 56453611. The next prime is 56453623. The reversal of 56453616 is 61635465.

56453616 is a `hidden beast` number, since 5 + 645 + 3 + 6 + 1 + 6 = 666.

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 (56453611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43570 + ... + 44846.

Almost surely, 256453616 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 56453616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315236).

56453616 is an abundant number, since it is smaller than the sum of its proper divisors (102176856).

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

56453616 is a wasteful number, since it uses less digits than its factorization.

56453616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1589 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56453616 is about 7513.5621378944. The cubic root of 56453616 is about 383.6164790642.

It can be divided in two parts, 5645 and 3616, that added together give a cube (9261 = 213).

The spelling of 56453616 in words is "fifty-six million, four hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1277 1842 2456 2554 2763 3684 3831 4912 5108 5526 7368 7662 10216 11052 11493 14736 15324 20432 22104 22986 30648 44208 45972 61296 91944 183888 392039 784078 1176117 1568156 2352234 3136312 3528351 4704468 6272624 7056702 9408936 14113404 18817872 28226808 56453616