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14078944 = 2511233747
BaseRepresentation
bin110101101101…
…001111100000
3222111021200101
4311231033200
512101011234
61221432144
7230445325
oct65551740
928437611
1014078944
117a467a0
12486b654
132bbc349
141c26b4c
151381814
hexd6d3e0

14078944 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 5829120.

The previous prime is 14078923. The next prime is 14078951. The reversal of 14078944 is 44987041.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 299529 + ... + 299575.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 214078944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14078944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

14078944 is an abundant number, since it is smaller than the sum of its proper divisors (19015712).

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

14078944 is a wasteful number, since it uses less digits than its factorization.

14078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 14078944 is about 3752.1918927475. The cubic root of 14078944 is about 241.4663925102.

The spelling of 14078944 in words is "fourteen million, seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 47 74 88 92 94 148 176 184 188 253 296 352 368 376 407 506 517 592 736 752 814 851 1012 1034 1081 1184 1504 1628 1702 1739 2024 2068 2162 3256 3404 3478 4048 4136 4324 6512 6808 6956 8096 8272 8648 9361 11891 13024 13616 13912 16544 17296 18722 19129 23782 27232 27824 34592 37444 38258 39997 47564 55648 74888 76516 79994 95128 149776 153032 159988 190256 299552 306064 319976 380512 439967 612128 639952 879934 1279904 1759868 3519736 7039472 14078944