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40107431 = 721379797
BaseRepresentation
bin1001100011111…
…1110110100111
32210110200001102
42120333312213
540231414211
63551350315
7664623200
oct230776647
983420042
1040107431
1120704341
121152239b
138403710
1454805a7
1537c3a3b
hex263fda7

40107431 has 24 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 31292352.

The previous prime is 40107413. The next prime is 40107449. The reversal of 40107431 is 13470104.

It is an interprime number because it is at equal distance from previous prime (40107413) and next prime (40107449).

It is not a de Polignac number, because 40107431 - 218 = 39845287 is a prime.

It is a super-2 number, since 2×401074312 = 3217212042839522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49925 + ... + 50721.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 240107431 is an apocalyptic number.

40107431 is a deficient number, since it is larger than the sum of its proper divisors (10836889).

40107431 is a wasteful number, since it uses less digits than its factorization.

40107431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 40107431 is about 6333.0427915813. The cubic root of 40107431 is about 342.3010896819.

Adding to 40107431 its reverse (13470104), we get a palindrome (53577535).

The spelling of 40107431 in words is "forty million, one hundred seven thousand, four hundred thirty-one".

Divisors: 1 7 13 49 79 91 553 637 797 1027 3871 5579 7189 10361 39053 50323 62963 72527 440741 507689 818519 3085187 5729633 40107431