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14648144 = 247130787
BaseRepresentation
bin110111111000…
…001101010000
31000120012110212
4313320031100
512222220034
61241543252
7235335650
oct67701520
930505425
1014648144
1182a5405
124aa4b28
13305b454
141d34360
1514452ce
hexdf8350

14648144 has 20 divisors (see below), whose sum is σ = 32435424. Its totient is φ = 6277728.

The previous prime is 14648141. The next prime is 14648147. The reversal of 14648144 is 44184641.

14648144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14648141) and next prime (14648147).

It is a self number, because there is not a number n which added to its sum of digits gives 14648144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14648141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65282 + ... + 65505.

Almost surely, 214648144 is an apocalyptic number.

14648144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14648144 is an abundant number, since it is smaller than the sum of its proper divisors (17787280).

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

14648144 is a wasteful number, since it uses less digits than its factorization.

14648144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130802 (or 130796 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 14648144 is about 3827.2893802272. The cubic root of 14648144 is about 244.6775934094.

The spelling of 14648144 in words is "fourteen million, six hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 130787 261574 523148 915509 1046296 1831018 2092592 3662036 7324072 14648144