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56405800 = 23521125639
BaseRepresentation
bin1101011100101…
…0111100101000
310221010201012201
43113022330220
5103414441200
65332545544
71253304253
oct327127450
9127121181
1056405800
1129926570
1216a822b4
13b8bc019
1476c409a
154e42c6a
hex35caf28

56405800 has 48 divisors (see below), whose sum is σ = 143071200. Its totient is φ = 20510400.

The previous prime is 56405747. The next prime is 56405819. The reversal of 56405800 is 850465.

56405800 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×564058002 = 6363228547280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10620 + ... + 15019.

It is an arithmetic number, because the mean of its divisors is an integer number (2980650).

Almost surely, 256405800 is an apocalyptic number.

56405800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56405800 is an abundant number, since it is smaller than the sum of its proper divisors (86665400).

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

56405800 is a wasteful number, since it uses less digits than its factorization.

56405800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25666 (or 25657 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 56405800 is about 7510.3794844202. The cubic root of 56405800 is about 383.5081412339.

The spelling of 56405800 in words is "fifty-six million, four hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25639 51278 102556 128195 205112 256390 282029 512780 564058 640975 1025560 1128116 1281950 1410145 2256232 2563900 2820290 5127800 5640580 7050725 11281160 14101450 28202900 56405800