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40153957 is a prime number
BaseRepresentation
bin1001100100101…
…1001101100101
32210120000212121
42121023031211
540234411312
63552345541
7665205634
oct231131545
983500777
1040153957
1120736298
12115452b1
13841b94c
14549351b
1537d2707
hex264b365

40153957 has 2 divisors, whose sum is σ = 40153958. Its totient is φ = 40153956.

The previous prime is 40153943. The next prime is 40153961. The reversal of 40153957 is 75935104.

40153957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39955041 + 198916 = 6321^2 + 446^2 .

It is a cyclic number.

It is not a de Polignac number, because 40153957 - 215 = 40121189 is a prime.

It is a super-2 number, since 2×401539572 = 3224680525515698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40153907) 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 as a sum of consecutive naturals, namely, 20076978 + 20076979.

It is an arithmetic number, because the mean of its divisors is an integer number (20076979).

Almost surely, 240153957 is an apocalyptic number.

It is an amenable number.

40153957 is a deficient number, since it is larger than the sum of its proper divisors (1).

40153957 is an equidigital number, since it uses as much as digits as its factorization.

40153957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 40153957 is about 6336.7150006924. The cubic root of 40153957 is about 342.4333988814.

The spelling of 40153957 in words is "forty million, one hundred fifty-three thousand, nine hundred fifty-seven".