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14691808 = 2517113239
BaseRepresentation
bin111000000010…
…110111100000
31000122102101001
4320002313200
512230114213
61242521344
7235610155
oct70026740
930572331
1014691808
11832519a
124b06254
1330752a1
141d4622c
1514531dd
hexe02de0

14691808 has 48 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 6823936.

The previous prime is 14691797. The next prime is 14691811. The reversal of 14691808 is 80819641.

It is a happy number.

It is a super-3 number, since 3×146918083 (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61353 + ... + 61591.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 214691808 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 14691808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

14691808 is an abundant number, since it is smaller than the sum of its proper divisors (16334432).

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

14691808 is a wasteful number, since it uses less digits than its factorization.

14691808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 14691808 is about 3832.9894338493. The cubic root of 14691808 is about 244.9204684239.

The spelling of 14691808 in words is "fourteen million, six hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 239 272 452 478 544 904 956 1808 1912 1921 3616 3824 3842 4063 7648 7684 8126 15368 16252 27007 30736 32504 54014 61472 65008 108028 130016 216056 432112 459119 864224 918238 1836476 3672952 7345904 14691808