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13049748 = 223440277
BaseRepresentation
bin110001110001…
…111110010100
3220112222220000
4301301332110
511320042443
61143411300
7215630625
oct61617624
926488800
1013049748
117403518
124453b30
13291ba5a
141a39a4c
15122b8d3
hexc71f94

13049748 has 30 divisors (see below), whose sum is σ = 34115466. Its totient is φ = 4349808.

The previous prime is 13049723. The next prime is 13049749. The reversal of 13049748 is 84794031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12830724 + 219024 = 3582^2 + 468^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13049749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19815 + ... + 20462.

Almost surely, 213049748 is an apocalyptic number.

13049748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13049748 is an abundant number, since it is smaller than the sum of its proper divisors (21065718).

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

13049748 is a wasteful number, since it uses less digits than its factorization.

13049748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40293 (or 40282 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13049748 is about 3612.4434943678. The cubic root of 13049748 is about 235.4330208320.

The spelling of 13049748 in words is "thirteen million, forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40277 80554 120831 161108 241662 362493 483324 724986 1087479 1449972 2174958 3262437 4349916 6524874 13049748