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31812 = 22311241
BaseRepresentation
bin111110001000100
31121122020
413301010
52004222
6403140
7161514
oct76104
947566
1031812
11219a0
12164b0
1311631
14b844
15965c
hex7c44

31812 has 24 divisors (see below), whose sum is σ = 81312. Its totient is φ = 9600.

The previous prime is 31799. The next prime is 31817. The reversal of 31812 is 21813.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 31791 and 31800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31812.

It is not an unprimeable number, because it can be changed into a prime (31817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

231812 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 31812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40656).

31812 is an abundant number, since it is smaller than the sum of its proper divisors (49500).

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

31812 is a wasteful number, since it uses less digits than its factorization.

31812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 31812 is about 178.3591881569. The cubic root of 31812 is about 31.6857256767.

Subtracting from 31812 its reverse (21813), we obtain a palindrome (9999).

The spelling of 31812 in words is "thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1446 2651 2892 5302 7953 10604 15906 31812