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14379192 = 2332414871
BaseRepresentation
bin110110110110…
…100010111000
31000001112112200
4312312202320
512140113232
61232110200
7233135562
oct66664270
930045480
1014379192
118131333
124995360
132c95bc9
141ca4332
1513e077c
hexdb68b8

14379192 has 48 divisors (see below), whose sum is σ = 39901680. Its totient is φ = 4675200.

The previous prime is 14379191. The next prime is 14379203. The reversal of 14379192 is 29197341.

It is a super-2 number, since 2×143791922 = 413522325145728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379191) 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 11 ways as a sum of consecutive naturals, for example, 517 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (831285).

Almost surely, 214379192 is an apocalyptic number.

14379192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14379192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950840).

14379192 is an abundant number, since it is smaller than the sum of its proper divisors (25522488).

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

14379192 is a wasteful number, since it uses less digits than its factorization.

14379192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4917 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14379192 is about 3791.9905063172. The cubic root of 14379192 is about 243.1708395756.

The spelling of 14379192 in words is "fourteen million, three hundred seventy-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 4871 9742 14613 19484 29226 38968 43839 58452 87678 116904 175356 199711 350712 399422 599133 798844 1198266 1597688 1797399 2396532 3594798 4793064 7189596 14379192