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40856256 = 2632710133
BaseRepresentation
bin1001101111011…
…0101011000000
32211212201020200
42123312223000
540424400011
64015405200
71004162310
oct233665300
984781220
1040856256
1121075a01
1211823800
1386064cc
1455d7440
1538c0856
hex26f6ac0

40856256 has 84 divisors (see below), whose sum is σ = 133849872. Its totient is φ = 11672064.

The previous prime is 40856243. The next prime is 40856297. The reversal of 40856256 is 65265804.

40856256 is a `hidden beast` number, since 40 + 8 + 562 + 56 = 666.

40856256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

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 40856256.

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, 1035 + ... + 9098.

Almost surely, 240856256 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 40856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66924936).

40856256 is an abundant number, since it is smaller than the sum of its proper divisors (92993616).

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

40856256 is a wasteful number, since it uses less digits than its factorization.

40856256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 40856256 is about 6391.8898613790. The cubic root of 40856256 is about 344.4182761328.

The spelling of 40856256 in words is "forty million, eight hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10133 20266 30399 40532 60798 70931 81064 91197 121596 141862 162128 182394 212793 243192 283724 324256 364788 425586 486384 567448 638379 648512 729576 851172 972768 1134896 1276758 1459152 1702344 1945536 2269792 2553516 2918304 3404688 4539584 5107032 5836608 6809376 10214064 13618752 20428128 40856256