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56434040 = 23513412647
BaseRepresentation
bin1101011101000…
…1110101111000
310221012010221122
43113101311320
5103421342130
65333324412
71253452505
oct327216570
9127163848
1056434040
1129945803
1216a96708
13b8cbb30
1476d04ac
154e4b2e5
hex35d1d78

56434040 has 64 divisors (see below), whose sum is σ = 140132160. Its totient is φ = 20321280.

The previous prime is 56434013. The next prime is 56434051. The reversal of 56434040 is 4043465.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19997 + ... + 22643.

It is an arithmetic number, because the mean of its divisors is an integer number (2189565).

Almost surely, 256434040 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 56434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70066080).

56434040 is an abundant number, since it is smaller than the sum of its proper divisors (83698120).

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

56434040 is a wasteful number, since it uses less digits than its factorization.

56434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 56434040 is about 7512.2593139481. The cubic root of 56434040 is about 383.5721326614.

The spelling of 56434040 in words is "fifty-six million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2647 2665 4264 5294 5330 10588 10660 13235 21176 21320 26470 34411 52940 68822 105880 108527 137644 172055 217054 275288 344110 434108 542635 688220 868216 1085270 1376440 1410851 2170540 2821702 4341080 5643404 7054255 11286808 14108510 28217020 56434040