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14825472 = 211319127
BaseRepresentation
bin111000100011…
…100000000000
31000220012201120
4320203200000
512243403342
61245432240
7240004644
oct70434000
930805646
1014825472
118406662
124b6b680
1330c108c
141d7cc24
15147caec
hexe23800

14825472 has 96 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 4644864.

The previous prime is 14825441. The next prime is 14825483. The reversal of 14825472 is 27452841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 116673 + ... + 116799.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 214825472 is an apocalyptic number.

14825472 is a gapful number since it is divisible by the number (12) 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 14825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

14825472 is an abundant number, since it is smaller than the sum of its proper divisors (27107328).

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

14825472 is a wasteful number, since it uses less digits than its factorization.

14825472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 14825472 is about 3850.3859546804. The cubic root of 14825472 is about 245.6609779023.

The spelling of 14825472 in words is "fourteen million, eight hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 128 152 192 228 254 256 304 381 384 456 508 512 608 762 768 912 1016 1024 1216 1524 1536 1824 2032 2048 2413 2432 3048 3072 3648 4064 4826 4864 6096 6144 7239 7296 8128 9652 9728 12192 14478 14592 16256 19304 19456 24384 28956 29184 32512 38608 38912 48768 57912 58368 65024 77216 97536 115824 116736 130048 154432 195072 231648 260096 308864 390144 463296 617728 780288 926592 1235456 1853184 2470912 3706368 4941824 7412736 14825472