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40395684 = 22371313671
BaseRepresentation
bin1001101000011…
…0001110100100
32211000022110110
42122012032210
540320130214
64001453020
71000233450
oct232061644
984008413
1040395684
112089096a
1211641170
1384a4994
145517660
15382e159
hex26863a4

40395684 has 48 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 11450400.

The previous prime is 40395661. The next prime is 40395709. The reversal of 40395684 is 48659304.

It is a super-2 number, since 2×403956842 = 3263622571655712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9169 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 240395684 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 40395684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848).

40395684 is an abundant number, since it is smaller than the sum of its proper divisors (68178012).

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

40395684 is a wasteful number, since it uses less digits than its factorization.

40395684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 40395684 is about 6355.7599073596. The cubic root of 40395684 is about 343.1191747877.

The spelling of 40395684 in words is "forty million, three hundred ninety-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 3671 5502 7342 11004 11013 14684 22026 25697 44052 51394 77091 102788 154182 308364 480901 961802 1442703 1923604 2885406 3366307 5770812 6732614 10098921 13465228 20197842 40395684