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31242888 = 23331091327
BaseRepresentation
bin111011100101…
…1101010001000
32011210022012000
41313023222020
530444233023
63033351000
7526363065
oct167135210
964708160
1031242888
11166aa276
12a568460
13661b921
144213c6c
152b22243
hex1dcba88

31242888 has 64 divisors (see below), whose sum is σ = 87648000. Its totient is φ = 10310976.

The previous prime is 31242881. The next prime is 31242899. The reversal of 31242888 is 88824213.

It is a happy number.

It is a super-2 number, since 2×312428882 = 1952236101161088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31242881) 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 15 ways as a sum of consecutive naturals, for example, 22881 + ... + 24207.

It is an arithmetic number, because the mean of its divisors is an integer number (1369500).

Almost surely, 231242888 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 31242888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43824000).

31242888 is an abundant number, since it is smaller than the sum of its proper divisors (56405112).

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

31242888 is a wasteful number, since it uses less digits than its factorization.

31242888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1441 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 31242888 is about 5589.5337909346. The cubic root of 31242888 is about 314.9563658381.

The spelling of 31242888 in words is "thirty-one million, two hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1327 1962 2616 2654 2943 3924 3981 5308 5886 7848 7962 10616 11772 11943 15924 23544 23886 31848 35829 47772 71658 95544 143316 144643 286632 289286 433929 578572 867858 1157144 1301787 1735716 2603574 3471432 3905361 5207148 7810722 10414296 15621444 31242888