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42565456 = 2423247107
BaseRepresentation
bin1010001001011…
…1111101010000
32222002112211101
42202113331100
541344043311
64120154144
71024541353
oct242277520
988075741
1042565456
112203306a
1212308954
138a8447b
14592029a
153b0bec1
hex2897f50

42565456 has 60 divisors (see below), whose sum is σ = 88869312. Its totient is φ = 19738048.

The previous prime is 42565441. The next prime is 42565463. The reversal of 42565456 is 65456524.

42565456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397755 + ... + 397861.

Almost surely, 242565456 is an apocalyptic number.

42565456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42565456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44434656).

42565456 is an abundant number, since it is smaller than the sum of its proper divisors (46303856).

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

42565456 is a wasteful number, since it uses less digits than its factorization.

42565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The square root of 42565456 is about 6524.2207197488. The cubic root of 42565456 is about 349.1556681930.

The spelling of 42565456 in words is "forty-two million, five hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 47 92 94 107 184 188 214 368 376 428 529 752 856 1058 1081 1712 2116 2162 2461 4232 4324 4922 5029 8464 8648 9844 10058 17296 19688 20116 24863 39376 40232 49726 56603 80464 99452 113206 115667 198904 226412 231334 397808 452824 462668 905648 925336 1850672 2660341 5320682 10641364 21282728 42565456