Search a number
-
+
31638112 = 251128171
BaseRepresentation
bin111100010110…
…0001001100000
32012112101022221
41320230021200
531044404422
63050040424
7532630252
oct170541140
965471287
1031638112
111694a200
12a719114
13672979c
1442b7cd2
152b9e3c7
hex1e2c260

31638112 has 36 divisors (see below), whose sum is σ = 68473188. Its totient is φ = 14379200.

The previous prime is 31638083. The next prime is 31638151. The reversal of 31638112 is 21183613.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214 + ... + 7957.

It is an arithmetic number, because the mean of its divisors is an integer number (1902033).

Almost surely, 231638112 is an apocalyptic number.

31638112 is a gapful number since it is divisible by the number (32) 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 31638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34236594).

31638112 is an abundant number, since it is smaller than the sum of its proper divisors (36835076).

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

31638112 is a wasteful number, since it uses less digits than its factorization.

31638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8203 (or 8184 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 31638112 is about 5624.7766177867. The cubic root of 31638112 is about 316.2788757503.

The spelling of 31638112 in words is "thirty-one million, six hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 8171 16342 32684 65368 89881 130736 179762 261472 359524 719048 988691 1438096 1977382 2876192 3954764 7909528 15819056 31638112