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56497860 = 223252811117
BaseRepresentation
bin1101011110000…
…1011011000100
310221022101111100
43113201123010
5103430412420
65334540100
71254136536
oct327413304
9127271440
1056497860
1129989751
1216b07630
13b921bb3
147709856
154e60190
hex35e16c4

56497860 has 72 divisors (see below), whose sum is σ = 172140696. Its totient is φ = 14999040.

The previous prime is 56497843. The next prime is 56497907. The reversal of 56497860 is 6879465.

56497860 is a `hidden beast` number, since 564 + 9 + 7 + 86 + 0 = 666.

56497860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 55621764 = 936^2 + 7458^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 50022 + ... + 51138.

It is an arithmetic number, because the mean of its divisors is an integer number (2390843).

Almost surely, 256497860 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 56497860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86070348).

56497860 is an abundant number, since it is smaller than the sum of its proper divisors (115642836).

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

56497860 is a wasteful number, since it uses less digits than its factorization.

56497860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56497860 is about 7516.5058371560. The cubic root of 56497860 is about 383.7166692537.

The spelling of 56497860 in words is "fifty-six million, four hundred ninety-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1117 1124 1405 1686 2234 2529 2810 3351 3372 4215 4468 5058 5585 5620 6702 8430 10053 10116 11170 12645 13404 16755 16860 20106 22340 25290 33510 40212 50265 50580 67020 100530 201060 313877 627754 941631 1255508 1569385 1883262 2824893 3138770 3766524 4708155 5649786 6277540 9416310 11299572 14124465 18832620 28248930 56497860