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14421792 = 2537111951
BaseRepresentation
bin110111000000…
…111100100000
31000010200222110
4313000330200
512142444132
61233035320
7233404020
oct67007440
930120873
1014421792
118160340
1249b5b40
132cac408
141cb5a80
1513ed1cc
hexdc0f20

14421792 has 96 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 3744000.

The previous prime is 14421773. The next prime is 14421793. The reversal of 14421792 is 29712441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14421793) 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, 6417 + ... + 8367.

It is an arithmetic number, because the mean of its divisors is an integer number (491904).

Almost surely, 214421792 is an apocalyptic number.

14421792 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 14421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

14421792 is an abundant number, since it is smaller than the sum of its proper divisors (32800992).

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

14421792 is a wasteful number, since it uses less digits than its factorization.

14421792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 14421792 is about 3797.6034548120. The cubic root of 14421792 is about 243.4107432871.

The spelling of 14421792 in words is "fourteen million, four hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 1951 2464 3696 3902 5853 7392 7804 11706 13657 15608 21461 23412 27314 31216 40971 42922 46824 54628 62432 64383 81942 85844 93648 109256 128766 150227 163884 171688 187296 218512 257532 300454 327768 343376 437024 450681 515064 600908 655536 686752 901362 1030128 1201816 1311072 1802724 2060256 2403632 3605448 4807264 7210896 14421792