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14828064 = 253154459
BaseRepresentation
bin111000100100…
…001000100000
31000220100021120
4320210020200
512243444224
61245452240
7240015336
oct70441040
930810246
1014828064
1184085a9
124b71080
1330c2304
141d7db56
15147d779
hexe24220

14828064 has 24 divisors (see below), whose sum is σ = 38923920. Its totient is φ = 4942656.

The previous prime is 14828059. The next prime is 14828069. The reversal of 14828064 is 46082841.

It is an interprime number because it is at equal distance from previous prime (14828059) and next prime (14828069).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14828069) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 77134 + ... + 77325.

It is an arithmetic number, because the mean of its divisors is an integer number (1621830).

Almost surely, 214828064 is an apocalyptic number.

It is an amenable number.

14828064 is an abundant number, since it is smaller than the sum of its proper divisors (24095856).

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

14828064 is a wasteful number, since it uses less digits than its factorization.

14828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154472 (or 154464 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14828064 is about 3850.7225296040. The cubic root of 14828064 is about 245.6752937175.

The spelling of 14828064 in words is "fourteen million, eight hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 154459 308918 463377 617836 926754 1235672 1853508 2471344 3707016 4942688 7414032 14828064