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13822872 = 233782279
BaseRepresentation
bin110100101110…
…101110011000
3222000021102020
4310232232120
512014312442
61212134440
7225330630
oct64565630
928007366
1013822872
117891368
124767420
132b2c91b
141b9b6c0
1513309ec
hexd2eb98

13822872 has 32 divisors (see below), whose sum is σ = 39494400. Its totient is φ = 3949344.

The previous prime is 13822859. The next prime is 13822901. The reversal of 13822872 is 27822831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40972 + ... + 41307.

It is an arithmetic number, because the mean of its divisors is an integer number (1234200).

Almost surely, 213822872 is an apocalyptic number.

13822872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13822872 is an abundant number, since it is smaller than the sum of its proper divisors (25671528).

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

13822872 is a wasteful number, since it uses less digits than its factorization.

13822872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82295 (or 82291 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 13822872 is about 3717.9123174169. The cubic root of 13822872 is about 239.9934720447.

The spelling of 13822872 in words is "thirteen million, eight hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 82279 164558 246837 329116 493674 575953 658232 987348 1151906 1727859 1974696 2303812 3455718 4607624 6911436 13822872