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400040382 = 23726993529
BaseRepresentation
bin10111110110000…
…010000110111110
31000212202011020110
4113312002012332
51304402243012
6103410130450
712625200330
oct2766020676
91025664213
10400040382
111958a3295
12b1b80a26
1364b56ab1
143b1b5450
15251c073c
hex17d821be

400040382 has 32 divisors (see below), whose sum is σ = 914976000. Its totient is φ = 114222528.

The previous prime is 400040363. The next prime is 400040387. The reversal of 400040382 is 283040004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111594 + ... + 115122.

It is an arithmetic number, because the mean of its divisors is an integer number (28593000).

Almost surely, 2400040382 is an apocalyptic number.

400040382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

400040382 is an abundant number, since it is smaller than the sum of its proper divisors (514935618).

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

400040382 is a wasteful number, since it uses less digits than its factorization.

400040382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 400040382 is about 20001.0095245215. The cubic root of 400040382 is about 736.8310936537.

Adding to 400040382 its reverse (283040004), we get a palindrome (683080386).

The spelling of 400040382 in words is "four hundred million, forty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 2699 3529 5398 7058 8097 10587 16194 18893 21174 24703 37786 49406 56679 74109 113358 148218 9524771 19049542 28574313 57148626 66673397 133346794 200020191 400040382