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40625856 = 2632251281
BaseRepresentation
bin1001101011111…
…0011011000000
32211110000012100
42122332123000
540400011411
64010430400
71002212505
oct232763300
984400170
1040625856
1120a28897
1211732400
13855568b
1455774ac
153877456
hex26be6c0

40625856 has 84 divisors (see below), whose sum is σ = 117326664. Its totient is φ = 13440000.

The previous prime is 40625833. The next prime is 40625863. The reversal of 40625856 is 65852604.

40625856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 40625856.

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, 144436 + ... + 144716.

It is an arithmetic number, because the mean of its divisors is an integer number (1396746).

Almost surely, 240625856 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 40625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58663332).

40625856 is an abundant number, since it is smaller than the sum of its proper divisors (76700808).

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

40625856 is a wasteful number, since it uses less digits than its factorization.

40625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

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

The square root of 40625856 is about 6373.8415418019. The cubic root of 40625856 is about 343.7696312315.

It can be divided in two parts, 406 and 25856, that added together give a palindrome (26262).

The spelling of 40625856 in words is "forty million, six hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 281 288 502 562 576 753 843 1004 1124 1506 1686 2008 2248 2259 2529 3012 3372 4016 4496 4518 5058 6024 6744 8032 8992 9036 10116 12048 13488 16064 17984 18072 20232 24096 26976 36144 40464 48192 53952 70531 72288 80928 141062 144576 161856 211593 282124 423186 564248 634779 846372 1128496 1269558 1692744 2256992 2539116 3385488 4513984 5078232 6770976 10156464 13541952 20312928 40625856