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117249444 = 2237131031
BaseRepresentation
bin1101111110100…
…01010110100100
322011121220000000
412333101112210
5220003440234
615345021300
72622414054
oct677212644
9264556000
10117249444
1160203274
1233324830
131b3a2c90
1411801564
15a460899
hex6fd15a4

117249444 has 96 divisors (see below), whose sum is σ = 331726080. Its totient is φ = 36041760.

The previous prime is 117249427. The next prime is 117249449. The reversal of 117249444 is 444942711.

117249444 is a `hidden beast` number, since 1 + 172 + 49 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117249399 and 117249408.

It is not an unprimeable number, because it can be changed into a prime (117249449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113209 + ... + 114239.

It is an arithmetic number, because the mean of its divisors is an integer number (3455480).

Almost surely, 2117249444 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 117249444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165863040).

117249444 is an abundant number, since it is smaller than the sum of its proper divisors (214476636).

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

117249444 is a wasteful number, since it uses less digits than its factorization.

117249444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 117249444 is about 10828.1782401289. The cubic root of 117249444 is about 489.4446630912. Note that the first 3 decimals are identical.

The spelling of 117249444 in words is "one hundred seventeen million, two hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1031 1053 1404 1458 2062 2106 2187 2916 3093 3159 4124 4212 4374 6186 6318 8748 9279 9477 12372 12636 13403 18558 18954 26806 27837 28431 37116 37908 40209 53612 55674 56862 80418 83511 111348 113724 120627 160836 167022 241254 250533 334044 361881 482508 501066 723762 751599 1002132 1085643 1447524 1503198 2171286 2254797 3006396 3256929 4342572 4509594 6513858 9019188 9770787 13027716 19541574 29312361 39083148 58624722 117249444