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31887693 = 325576361
BaseRepresentation
bin111100110100…
…1000101001101
32020000001200200
41321221011031
531130401233
63055244113
7535020015
oct171510515
966001620
1031887693
1116aaa772
12a819639
1367b6276
144340c45
152bed313
hex1e6914d

31887693 has 12 divisors (see below), whose sum is σ = 46149948. Its totient is φ = 21216960.

The previous prime is 31887679. The next prime is 31887703. The reversal of 31887693 is 39678813.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5076009 + 26811684 = 2253^2 + 5178^2 .

It is not a de Polignac number, because 31887693 - 26 = 31887629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31887613) 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 11 ways as a sum of consecutive naturals, for example, 1833 + ... + 8193.

It is an arithmetic number, because the mean of its divisors is an integer number (3845829).

Almost surely, 231887693 is an apocalyptic number.

It is an amenable number.

31887693 is a deficient number, since it is larger than the sum of its proper divisors (14262255).

31887693 is a wasteful number, since it uses less digits than its factorization.

31887693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6921 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 31887693 is about 5646.9188944060. The cubic root of 31887693 is about 317.1083661924.

The spelling of 31887693 in words is "thirty-one million, eight hundred eighty-seven thousand, six hundred ninety-three".

Divisors: 1 3 9 557 1671 5013 6361 19083 57249 3543077 10629231 31887693