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40642357 = 7234147131
BaseRepresentation
bin1001101100001…
…0011100110101
32211110211211111
42123002130311
540401023412
64011035021
71002311560
oct233023465
984424744
1040642357
1120a3a228
121173ba71
138560042
14557d4d7
15387c2a7
hex26c2735

40642357 has 32 divisors (see below), whose sum is σ = 51093504. Its totient is φ = 31574400.

The previous prime is 40642339. The next prime is 40642363. The reversal of 40642357 is 75324604.

40642357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40642357 - 27 = 40642229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40642337) 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 31 ways as a sum of consecutive naturals, for example, 310182 + ... + 310312.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 240642357 is an apocalyptic number.

40642357 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

40642357 is a deficient number, since it is larger than the sum of its proper divisors (10451147).

40642357 is a wasteful number, since it uses less digits than its factorization.

40642357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 40642357 is about 6375.1358416900. The cubic root of 40642357 is about 343.8161678907.

The spelling of 40642357 in words is "forty million, six hundred forty-two thousand, three hundred fifty-seven".

Divisors: 1 7 23 41 47 131 161 287 329 917 943 1081 1927 3013 5371 6157 6601 7567 13489 21091 37597 43099 44321 123533 141611 252437 310247 864731 991277 1767059 5806051 40642357