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42556256 = 252367863
BaseRepresentation
bin1010001001010…
…1101101100000
32222002002012122
42202111231200
541343300011
64120043412
71024502501
oct242255540
988062178
1042556256
1122027166
1212303568
138a80222
14591aba8
153b093db
hex2895b60

42556256 has 48 divisors (see below), whose sum is σ = 88833024. Its totient is φ = 20025984.

The previous prime is 42556247. The next prime is 42556259. The reversal of 42556256 is 65265524.

It is a super-2 number, since 2×425562562 = 3622069849475072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42556259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48881 + ... + 49743.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 242556256 is an apocalyptic number.

42556256 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 42556256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512).

42556256 is an abundant number, since it is smaller than the sum of its proper divisors (46276768).

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

42556256 is a wasteful number, since it uses less digits than its factorization.

42556256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The square root of 42556256 is about 6523.5156165982. The cubic root of 42556256 is about 349.1305111454.

The spelling of 42556256 in words is "forty-two million, five hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 368 536 736 863 1072 1541 1726 2144 3082 3452 6164 6904 12328 13808 19849 24656 27616 39698 49312 57821 79396 115642 158792 231284 317584 462568 635168 925136 1329883 1850272 2659766 5319532 10639064 21278128 42556256