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14683296 = 253433557
BaseRepresentation
bin111000000000…
…110010100000
31000121222200210
4320000302200
512224331141
61242414120
7235543305
oct70006240
930558623
1014683296
118319861
124b01340
133071454
141d430ac
151450916
hexe00ca0

14683296 has 48 divisors (see below), whose sum is σ = 39451104. Its totient is φ = 4779264.

The previous prime is 14683283. The next prime is 14683301. The reversal of 14683296 is 69238641.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2350 + ... + 5906.

It is an arithmetic number, because the mean of its divisors is an integer number (821898).

Almost surely, 214683296 is an apocalyptic number.

14683296 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 14683296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725552).

14683296 is an abundant number, since it is smaller than the sum of its proper divisors (24767808).

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

14683296 is a wasteful number, since it uses less digits than its factorization.

14683296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3605 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 14683296 is about 3831.8789124919. The cubic root of 14683296 is about 244.8731593889.

The spelling of 14683296 in words is "fourteen million, six hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3557 4128 7114 10671 14228 21342 28456 42684 56912 85368 113824 152951 170736 305902 341472 458853 611804 917706 1223608 1835412 2447216 3670824 4894432 7341648 14683296