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56460040 = 23571315511
BaseRepresentation
bin1101011101100…
…0001100001000
310221020110121121
43113120030020
5103423210130
65334045024
71253621350
oct327301410
9127213547
1056460040
112996329a
1216aa9774
13b90a910
1476d9b60
154e53d7a
hex35d8308

56460040 has 64 divisors (see below), whose sum is σ = 156360960. Its totient is φ = 17867520.

The previous prime is 56460037. The next prime is 56460059. The reversal of 56460040 is 4006465.

It is a happy number.

It is a super-2 number, since 2×564600402 = 6375472233603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56459987 and 56460014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116 + ... + 11395.

It is an arithmetic number, because the mean of its divisors is an integer number (2443140).

Almost surely, 256460040 is an apocalyptic number.

It is an amenable number.

56460040 is an abundant number, since it is smaller than the sum of its proper divisors (99900920).

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

56460040 is a wasteful number, since it uses less digits than its factorization.

56460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 56460040 is about 7513.9896193700. The cubic root of 56460040 is about 383.6310294094.

The spelling of 56460040 in words is "fifty-six million, four hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 15511 31022 62044 77555 108577 124088 155110 201643 217154 310220 403286 434308 542885 620440 806572 868616 1008215 1085770 1411501 1613144 2016430 2171540 2823002 4032860 4343080 5646004 7057505 8065720 11292008 14115010 28230020 56460040