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56428000 = 255314107
BaseRepresentation
bin1101011101000…
…0010111100000
310221011211122221
43113100113200
5103421144000
65333240424
71253426056
oct327202740
9127154587
1056428000
1129941212
1216a93114
13b8c9165
1476cc1d6
154e4961a
hex35d05e0

56428000 has 48 divisors (see below), whose sum is σ = 138653424. Its totient is φ = 22569600.

The previous prime is 56427961. The next prime is 56428007. The reversal of 56428000 is 82465.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56428007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3054 + ... + 11053.

It is an arithmetic number, because the mean of its divisors is an integer number (2888613).

Almost surely, 256428000 is an apocalyptic number.

56428000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56428000 is an abundant number, since it is smaller than the sum of its proper divisors (82225424).

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

56428000 is a wasteful number, since it uses less digits than its factorization.

56428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14132 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 56428000 is about 7511.8572936392. The cubic root of 56428000 is about 383.5584479046.

The spelling of 56428000 in words is "fifty-six million, four hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 14107 28214 56428 70535 112856 141070 225712 282140 352675 451424 564280 705350 1128560 1410700 1763375 2257120 2821400 3526750 5642800 7053500 11285600 14107000 28214000 56428000