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42054656 = 21075867
BaseRepresentation
bin1010000001101…
…1010000000000
32221010121010212
42200123100000
541231222111
64101213252
71020313220
oct240332000
987117125
1042054656
1121814316
1212101228
138935b17
14582a080
153a5a98b
hex281b400

42054656 has 44 divisors (see below), whose sum is σ = 96094368. Its totient is φ = 18020352.

The previous prime is 42054647. The next prime is 42054659. The reversal of 42054656 is 65645024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42054659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4235 + ... + 10101.

Almost surely, 242054656 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 42054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48047184).

42054656 is an abundant number, since it is smaller than the sum of its proper divisors (54039712).

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

42054656 is an equidigital number, since it uses as much as digits as its factorization.

42054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 42054656 is about 6484.9561293813. The cubic root of 42054656 is about 347.7533814412.

The spelling of 42054656 in words is "forty-two million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 5867 7168 11734 23468 41069 46936 82138 93872 164276 187744 328552 375488 657104 750976 1314208 1501952 2628416 3003904 5256832 6007808 10513664 21027328 42054656