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40357031 = 11132171277
BaseRepresentation
bin1001100111110…
…0110010100111
32210221100102212
42121330302213
540312411111
64000554035
71000012661
oct231746247
983840385
1040357031
1120864920
121162291b
138490200
145507531
15382298b
hex267cca7

40357031 has 24 divisors (see below), whose sum is σ = 50516784. Its totient is φ = 31848960.

The previous prime is 40357021. The next prime is 40357033. The reversal of 40357031 is 13075304.

It is a happy number.

It is not a de Polignac number, because 40357031 - 214 = 40340647 is a prime.

It is a super-2 number, since 2×403570312 = 3257379902269922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40356988 and 40357006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40357033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30965 + ... + 32241.

It is an arithmetic number, because the mean of its divisors is an integer number (2104866).

Almost surely, 240357031 is an apocalyptic number.

40357031 is a deficient number, since it is larger than the sum of its proper divisors (10159753).

40357031 is a wasteful number, since it uses less digits than its factorization.

40357031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 40357031 is about 6352.7183945143. The cubic root of 40357031 is about 343.0097008989.

The spelling of 40357031 in words is "forty million, three hundred fifty-seven thousand, thirty-one".

Divisors: 1 11 13 17 143 169 187 221 1277 1859 2431 2873 14047 16601 21709 31603 182611 215813 238799 282217 2373943 3104387 3668821 40357031