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42631056 = 2433137591
BaseRepresentation
bin1010001010011…
…1111110010000
32222012212211000
42202213332100
541403143211
64121422000
71025233536
oct242477620
988185730
1042631056
1122078386
121233a900
138aa82a0
14593a156
153b21656
hex28a7f90

42631056 has 80 divisors (see below), whose sum is σ = 131797120. Its totient is φ = 13115520.

The previous prime is 42631049. The next prime is 42631063. The reversal of 42631056 is 65013624.

42631056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42631049) and next prime (42631063).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 1821 + ... + 9411.

It is an arithmetic number, because the mean of its divisors is an integer number (1647464).

Almost surely, 242631056 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 42631056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65898560).

42631056 is an abundant number, since it is smaller than the sum of its proper divisors (89166064).

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

42631056 is a wasteful number, since it uses less digits than its factorization.

42631056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42631056 is about 6529.2462045783. The cubic root of 42631056 is about 349.3349438899.

The spelling of 42631056 in words is "forty-two million, six hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 7591 15182 22773 30364 45546 60728 68319 91092 98683 121456 136638 182184 197366 204957 273276 296049 364368 394732 409914 546552 592098 789464 819828 888147 1093104 1184196 1578928 1639656 1776294 2368392 2664441 3279312 3552588 4736784 5328882 7105176 10657764 14210352 21315528 42631056