Search a number
-
+
31131829 = 532332521
BaseRepresentation
bin111011011000…
…0100010110101
32011120122211201
41312300202311
530432204304
63031132501
7525421231
oct166604265
964518751
1031131829
1116633893
12a514131
1365b0201
1441c55c1
152aee3a4
hex1db08b5

31131829 has 8 divisors (see below), whose sum is σ = 31867992. Its totient is φ = 30401280.

The previous prime is 31131803. The next prime is 31131851. The reversal of 31131829 is 92813113.

It can be written as a sum of positive squares in 4 ways, for example, as 28900 + 31102929 = 170^2 + 5577^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31131829 - 25 = 31131797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31131797 and 31131806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131229) 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 7 ways as a sum of consecutive naturals, for example, 11089 + ... + 13609.

It is an arithmetic number, because the mean of its divisors is an integer number (3983499).

Almost surely, 231131829 is an apocalyptic number.

It is an amenable number.

31131829 is a deficient number, since it is larger than the sum of its proper divisors (736163).

31131829 is a wasteful number, since it uses less digits than its factorization.

31131829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807.

The product of its digits is 1296, while the sum is 28.

The square root of 31131829 is about 5579.5903971528. The cubic root of 31131829 is about 314.5827312865.

The spelling of 31131829 in words is "thirty-one million, one hundred thirty-one thousand, eight hundred twenty-nine".

Divisors: 1 53 233 2521 12349 133613 587393 31131829