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14914272 = 253337461
BaseRepresentation
bin111000111001…
…001011100000
31001001201112110
4320321023200
512304224042
61251355320
7240524562
oct70711340
931051473
1014914272
11846734a
124bb2b40
133122619
141da3332
15149909c
hexe392e0

14914272 has 48 divisors (see below), whose sum is σ = 39351312. Its totient is φ = 4945920.

The previous prime is 14914271. The next prime is 14914301. The reversal of 14914272 is 27241941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14914271) by changing a digit.

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, 32122 + ... + 32582.

It is an arithmetic number, because the mean of its divisors is an integer number (819819).

Almost surely, 214914272 is an apocalyptic number.

14914272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14914272 is an abundant number, since it is smaller than the sum of its proper divisors (24437040).

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

14914272 is a wasteful number, since it uses less digits than its factorization.

14914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 14914272 is about 3861.9000504933. The cubic root of 14914272 is about 246.1504796815.

The spelling of 14914272 in words is "fourteen million, nine hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 461 674 922 1011 1348 1383 1844 2022 2696 2766 3688 4044 5392 5532 7376 8088 10784 11064 14752 16176 22128 32352 44256 155357 310714 466071 621428 932142 1242856 1864284 2485712 3728568 4971424 7457136 14914272