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14829296 = 242359683
BaseRepresentation
bin111000100100…
…011011110000
31000220101222012
4320210123300
512244014141
61245502052
7240022046
oct70443360
930811865
1014829296
118409519
124b71928
1330c2a41
141d80396
15147dceb
hexe246f0

14829296 has 40 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 6961856.

The previous prime is 14829289. The next prime is 14829317. The reversal of 14829296 is 69292841.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21371 + ... + 22053.

It is an arithmetic number, because the mean of its divisors is an integer number (763344).

Almost surely, 214829296 is an apocalyptic number.

14829296 is a gapful number since it is divisible by the number (16) 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 14829296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

14829296 is an abundant number, since it is smaller than the sum of its proper divisors (15704464).

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

14829296 is a wasteful number, since it uses less digits than its factorization.

14829296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 14829296 is about 3850.8824962598. The cubic root of 14829296 is about 245.6820975632.

The spelling of 14829296 in words is "fourteen million, eight hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 683 944 1357 1366 2714 2732 5428 5464 10856 10928 15709 21712 31418 40297 62836 80594 125672 161188 251344 322376 644752 926831 1853662 3707324 7414648 14829296