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402013332 = 223273151461
BaseRepresentation
bin10111111101100…
…011110010010100
31001000110101121200
4113331203302110
51310403411312
6103520312500
712651025350
oct2775436224
91030411550
10402013332
11196a20626
12b2772730
1365397b16
143b56a460
15254600dc
hex17f63c94

402013332 has 72 divisors (see below), whose sum is σ = 1198858752. Its totient is φ = 111153600.

The previous prime is 402013319. The next prime is 402013349. The reversal of 402013332 is 233310204.

It is a super-2 number, since 2×4020133322 = 323229438211484448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17919 + ... + 33542.

It is an arithmetic number, because the mean of its divisors is an integer number (16650816).

Almost surely, 2402013332 is an apocalyptic number.

402013332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

402013332 is an abundant number, since it is smaller than the sum of its proper divisors (796845420).

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

402013332 is a wasteful number, since it uses less digits than its factorization.

402013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51509 (or 51504 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 402013332 is about 20050.2701228687. The cubic root of 402013332 is about 738.0404278644.

Adding to 402013332 its reverse (233310204), we get a palindrome (635323536).

The spelling of 402013332 in words is "four hundred two million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 51461 102922 154383 205844 308766 360227 463149 617532 720454 926298 1080681 1440908 1595291 1852596 2161362 3190582 3242043 4322724 4785873 6381164 6484086 9571746 11167037 12968172 14357619 19143492 22334074 28715238 33501111 44668148 57430476 67002222 100503333 134004444 201006666 402013332