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14838048 = 253251521
BaseRepresentation
bin111000100110…
…100100100000
31000220211222100
4320212210200
512244304143
61250010400
7240056421
oct70464440
930824870
1014838048
118415055
124b76a00
1330c6a14
141d83648
1514816d3
hexe26920

14838048 has 36 divisors (see below), whose sum is σ = 42196518. Its totient is φ = 4945920.

The previous prime is 14838029. The next prime is 14838071. The reversal of 14838048 is 84083841.

It can be written as a sum of positive squares in only one way, i.e., 14837904 + 144 = 3852^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25473 + ... + 26048.

Almost surely, 214838048 is an apocalyptic number.

14838048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14838048 is an abundant number, since it is smaller than the sum of its proper divisors (27358470).

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

14838048 is a wasteful number, since it uses less digits than its factorization.

14838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51537 (or 51526 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14838048 is about 3852.0186915434. The cubic root of 14838048 is about 245.7304205326.

The spelling of 14838048 in words is "fourteen million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51521 103042 154563 206084 309126 412168 463689 618252 824336 927378 1236504 1648672 1854756 2473008 3709512 4946016 7419024 14838048