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113857848 = 2332131031181
BaseRepresentation
bin1101100100101…
…01010100111000
321221020120121100
412302111110320
5213121422343
615144211400
72551530036
oct662252470
9257216540
10113857848
11592a70a5
1232169b60
131a786310
141119b556
159ee09d3
hex6c95538

113857848 has 96 divisors (see below), whose sum is σ = 335593440. Its totient is φ = 34663680.

The previous prime is 113857847. The next prime is 113857853. The reversal of 113857848 is 848758311.

It is a happy number.

113857848 is a `hidden beast` number, since 1 + 1 + 38 + 578 + 48 = 666.

It is a super-2 number, since 2×1138578482 = 25927219102382208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113857847) 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 23 ways as a sum of consecutive naturals, for example, 95818 + ... + 96998.

It is an arithmetic number, because the mean of its divisors is an integer number (3495765).

Almost surely, 2113857848 is an apocalyptic number.

113857848 is a gapful number since it is divisible by the number (18) 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 113857848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167796720).

113857848 is an abundant number, since it is smaller than the sum of its proper divisors (221735592).

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

113857848 is a wasteful number, since it uses less digits than its factorization.

113857848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 113857848 is about 10670.4192982282. The cubic root of 113857848 is about 484.6791344939.

The spelling of 113857848 in words is "one hundred thirteen million, eight hundred fifty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 103 104 117 156 206 234 309 312 412 468 618 824 927 936 1181 1236 1339 1854 2362 2472 2678 3543 3708 4017 4724 5356 7086 7416 8034 9448 10629 10712 12051 14172 15353 16068 21258 24102 28344 30706 32136 42516 46059 48204 61412 85032 92118 96408 121643 122824 138177 184236 243286 276354 364929 368472 486572 552708 729858 973144 1094787 1105416 1459716 1581359 2189574 2919432 3162718 4379148 4744077 6325436 8758296 9488154 12650872 14232231 18976308 28464462 37952616 56928924 113857848