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13049892 = 2232894073
BaseRepresentation
bin110001110010…
…000000100100
3220120000002100
4301302000210
511320044032
61143412100
7215631222
oct61620044
926500070
1013049892
117403639
124454030
13291bb3b
141a39b12
15122b97c
hexc72024

13049892 has 36 divisors (see below), whose sum is σ = 33366060. Its totient is φ = 4300032.

The previous prime is 13049887. The next prime is 13049899. The reversal of 13049892 is 29894031.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 11128896 = 1386^2 + 3336^2 .

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

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

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

It is not an unprimeable number, because it can be changed into a prime (13049899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (926835).

Almost surely, 213049892 is an apocalyptic number.

13049892 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 13049892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683030).

13049892 is an abundant number, since it is smaller than the sum of its proper divisors (20316168).

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

13049892 is a wasteful number, since it uses less digits than its factorization.

13049892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13049892 is about 3612.4634254204. The cubic root of 13049892 is about 235.4338868061.

The spelling of 13049892 in words is "thirteen million, forty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 4073 8146 12219 16292 24438 36657 48876 73314 146628 362497 724994 1087491 1449988 2174982 3262473 4349964 6524946 13049892