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14290848 = 25321113347
BaseRepresentation
bin110110100000…
…111110100000
3222220001100200
4312200332200
512124301343
61230145200
7232320165
oct66407640
928801320
1014290848
118080a20
124952200
132c64930
141c8006c
1513c44d3
hexda0fa0

14290848 has 144 divisors (see below), whose sum is σ = 47882016. Its totient is φ = 3985920.

The previous prime is 14290841. The next prime is 14290873. The reversal of 14290848 is 84809241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (14290841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41011 + ... + 41357.

It is an arithmetic number, because the mean of its divisors is an integer number (332514).

Almost surely, 214290848 is an apocalyptic number.

14290848 is a gapful number since it is divisible by the number (18) 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 14290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23941008).

14290848 is an abundant number, since it is smaller than the sum of its proper divisors (33591168).

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

14290848 is a wasteful number, since it uses less digits than its factorization.

14290848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14290848 is about 3780.3237956556. The cubic root of 14290848 is about 242.6718122056.

The spelling of 14290848 in words is "fourteen million, two hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 347 352 396 416 429 468 528 572 624 694 792 858 936 1041 1056 1144 1248 1287 1388 1584 1716 1872 2082 2288 2574 2776 3123 3168 3432 3744 3817 4164 4511 4576 5148 5552 6246 6864 7634 8328 9022 10296 11104 11451 12492 13533 13728 15268 16656 18044 20592 22902 24984 27066 30536 33312 34353 36088 40599 41184 45804 49621 49968 54132 61072 68706 72176 81198 91608 99242 99936 108264 122144 137412 144352 148863 162396 183216 198484 216528 274824 297726 324792 366432 396968 433056 446589 549648 595452 649584 793936 893178 1099296 1190904 1299168 1587872 1786356 2381808 3572712 4763616 7145424 14290848