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14979296 = 251971347
BaseRepresentation
bin111001001001…
…000011100000
31001012000201202
4321021003200
512313314141
61253020332
7241215263
oct71110340
931160652
1014979296
118501192
1250246a8
1331460b7
141dbccda
1514ad49b
hexe490e0

14979296 has 48 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 6975360.

The previous prime is 14979287. The next prime is 14979299. The reversal of 14979296 is 69297941.

It is a self number, because there is not a number n which added to its sum of digits gives 14979296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14979299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42995 + ... + 43341.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 214979296 is an apocalyptic number.

14979296 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 14979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

14979296 is an abundant number, since it is smaller than the sum of its proper divisors (16591264).

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

14979296 is a wasteful number, since it uses less digits than its factorization.

14979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 244944, while the sum is 47.

The square root of 14979296 is about 3870.3095483436. The cubic root of 14979296 is about 246.5076875105.

The spelling of 14979296 in words is "fourteen million, nine hundred seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 347 568 608 694 1136 1349 1388 2272 2698 2776 5396 5552 6593 10792 11104 13186 21584 24637 26372 43168 49274 52744 98548 105488 197096 210976 394192 468103 788384 936206 1872412 3744824 7489648 14979296