Search a number
-
+
13863828 = 22311127827
BaseRepresentation
bin110100111000…
…101110010100
3222002100121010
4310320232110
512022120303
61213052220
7225561216
oct64705624
928070533
1013863828
11790a110
124787070
132b45464
141bac5b6
15133cc03
hexd38b94

13863828 has 48 divisors (see below), whose sum is σ = 35610624. Its totient is φ = 4163040.

The previous prime is 13863799. The next prime is 13863907. The reversal of 13863828 is 82836831.

13863828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16351 + ... + 17177.

It is an arithmetic number, because the mean of its divisors is an integer number (741888).

Almost surely, 213863828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13863828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805312).

13863828 is an abundant number, since it is smaller than the sum of its proper divisors (21746796).

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

13863828 is a wasteful number, since it uses less digits than its factorization.

13863828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 13863828 is about 3723.4161733548. The cubic root of 13863828 is about 240.2302651154.

The spelling of 13863828 in words is "thirteen million, eight hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 827 1397 1524 1654 2481 2794 3308 4191 4962 5588 8382 9097 9924 16764 18194 27291 36388 54582 105029 109164 210058 315087 420116 630174 1155319 1260348 2310638 3465957 4621276 6931914 13863828