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56430640 = 2457100769
BaseRepresentation
bin1101011101000…
…1000000110000
310221011222021201
43113101000300
5103421240030
65333300544
71253436550
oct327210060
9127158251
1056430640
11299431a2
1216a94754
13b8ca416
1476cd160
154e4a2ca
hex35d1030

56430640 has 40 divisors (see below), whose sum is σ = 149945760. Its totient is φ = 19347456.

The previous prime is 56430631. The next prime is 56430643. The reversal of 56430640 is 4603465.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56430599 and 56430608.

It is not an unprimeable number, because it can be changed into a prime (56430643) 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, 49825 + ... + 50944.

It is an arithmetic number, because the mean of its divisors is an integer number (3748644).

Almost surely, 256430640 is an apocalyptic number.

It is an amenable number.

56430640 is an abundant number, since it is smaller than the sum of its proper divisors (93515120).

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

56430640 is a wasteful number, since it uses less digits than its factorization.

56430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100789 (or 100783 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 56430640 is about 7512.0330137720. The cubic root of 56430640 is about 383.5644294416.

The spelling of 56430640 in words is "fifty-six million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 100769 201538 403076 503845 705383 806152 1007690 1410766 1612304 2015380 2821532 3526915 4030760 5643064 7053830 8061520 11286128 14107660 28215320 56430640