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40131637 = 72132512
BaseRepresentation
bin1001100100010…
…1110000110101
32210111220020221
42121011300311
540233203022
63552054341
7665053600
oct231056065
983456227
1040131637
1120720547
12115343b1
138411740
145489337
1537cacc7
hex2645c35

40131637 has 18 divisors (see below), whose sum is σ = 50475894. Its totient is φ = 31626000.

The previous prime is 40131631. The next prime is 40131647. The reversal of 40131637 is 73613104.

It can be written as a sum of positive squares in only one way, i.e., 27783441 + 12348196 = 5271^2 + 3514^2 .

It is a de Polignac number, because none of the positive numbers 2k-40131637 is a prime.

It is a super-2 number, since 2×401316372 = 3221096576599538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131631) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 159762 + ... + 160012.

Almost surely, 240131637 is an apocalyptic number.

It is an amenable number.

40131637 is a deficient number, since it is larger than the sum of its proper divisors (10344257).

40131637 is an equidigital number, since it uses as much as digits as its factorization.

40131637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 40131637 is about 6334.9535909902. The cubic root of 40131637 is about 342.3699387176.

The spelling of 40131637 in words is "forty million, one hundred thirty-one thousand, six hundred thirty-seven".

Divisors: 1 7 13 49 91 251 637 1757 3263 12299 22841 63001 159887 441007 819013 3087049 5733091 40131637