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42656256 = 29329257
BaseRepresentation
bin1010001010111…
…0001000000000
32222021011101100
42202232020000
541410000011
64122134400
71025400156
oct242561000
988234340
1042656256
1122095305
1212351400
138ab68b6
1459453d6
153b28d56
hex28ae200

42656256 has 60 divisors (see below), whose sum is σ = 123122142. Its totient is φ = 14217216.

The previous prime is 42656249. The next prime is 42656261. The reversal of 42656256 is 65265624.

42656256 is a `hidden beast` number, since 4 + 26 + 5 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 665856 = 6480^2 + 816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42656256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21 + ... + 9236.

Almost surely, 242656256 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 42656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61561071).

42656256 is an abundant number, since it is smaller than the sum of its proper divisors (80465886).

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

42656256 is an equidigital number, since it uses as much as digits as its factorization.

42656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9281 (or 9262 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42656256 is about 6531.1756981420. The cubic root of 42656256 is about 349.4037630982.

The spelling of 42656256 in words is "forty-two million, six hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9257 18514 27771 37028 55542 74056 83313 111084 148112 166626 222168 296224 333252 444336 592448 666504 888672 1184896 1333008 1777344 2369792 2666016 3554688 4739584 5332032 7109376 10664064 14218752 21328128 42656256