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14252364 = 22327232459
BaseRepresentation
bin110110010111…
…100101001100
3222211002120100
4312113211030
512122033424
61225251100
7232100040
oct66274514
928732510
1014252364
118055015
124933a90
132c50269
141c70020
1513b7dc9
hexd9794c

14252364 has 72 divisors (see below), whose sum is σ = 42981120. Its totient is φ = 3893472.

The previous prime is 14252353. The next prime is 14252383. The reversal of 14252364 is 46325241.

14252364 is a `hidden beast` number, since 1 + 425 + 236 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 4567 + ... + 7025.

It is an arithmetic number, because the mean of its divisors is an integer number (596960).

Almost surely, 214252364 is an apocalyptic number.

14252364 is a gapful number since it is divisible by the number (14) 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 14252364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490560).

14252364 is an abundant number, since it is smaller than the sum of its proper divisors (28728756).

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

14252364 is a wasteful number, since it uses less digits than its factorization.

14252364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 14252364 is about 3775.2303240994. The cubic root of 14252364 is about 242.4537850783.

The spelling of 14252364 in words is "fourteen million, two hundred fifty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2459 2898 4918 5796 7377 9836 14754 17213 22131 29508 34426 44262 51639 56557 68852 88524 103278 113114 154917 169671 206556 226228 309834 339342 395899 509013 619668 678684 791798 1018026 1187697 1583596 2036052 2375394 3563091 4750788 7126182 14252364