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40364256 = 2531724733
BaseRepresentation
bin1001100111111…
…0100011100000
32210221201100110
42121332203200
540313124011
64001051320
71000043022
oct231764340
983851313
1040364256
112086a299
1211626b40
13849359a
14550a012
153824ba6
hex267e8e0

40364256 has 48 divisors (see below), whose sum is σ = 112193424. Its totient is φ = 12662784.

The previous prime is 40364251. The next prime is 40364279. The reversal of 40364256 is 65246304.

40364256 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40364251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10735 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (2337363).

Almost surely, 240364256 is an apocalyptic number.

It is an amenable number.

40364256 is an abundant number, since it is smaller than the sum of its proper divisors (71829168).

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

40364256 is a wasteful number, since it uses less digits than its factorization.

40364256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24763 (or 24755 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 40364256 is about 6353.2870232660. The cubic root of 40364256 is about 343.0301690152.

The spelling of 40364256 in words is "forty million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 24733 49466 74199 98932 148398 197864 296796 395728 420461 593592 791456 840922 1187184 1261383 1681844 2374368 2522766 3363688 5045532 6727376 10091064 13454752 20182128 40364256