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40364957 is a prime number
BaseRepresentation
bin1001100111111…
…0101110011101
32210221202022102
42121332232131
540313134312
64001054445
71000045043
oct231765635
983852272
1040364957
112086a876
1211627425
1384939b9
14550a393
153824ec2
hex267eb9d

40364957 has 2 divisors, whose sum is σ = 40364958. Its totient is φ = 40364956.

The previous prime is 40364939. The next prime is 40364969. The reversal of 40364957 is 75946304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37871716 + 2493241 = 6154^2 + 1579^2 .

It is a cyclic number.

It is not a de Polignac number, because 40364957 - 212 = 40360861 is a prime.

It is a super-2 number, since 2×403649572 = 3258659507223698, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40364957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40364927) 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 as a sum of consecutive naturals, namely, 20182478 + 20182479.

It is an arithmetic number, because the mean of its divisors is an integer number (20182479).

Almost surely, 240364957 is an apocalyptic number.

It is an amenable number.

40364957 is a deficient number, since it is larger than the sum of its proper divisors (1).

40364957 is an equidigital number, since it uses as much as digits as its factorization.

40364957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 40364957 is about 6353.3421913195. The cubic root of 40364957 is about 343.0321547883.

The spelling of 40364957 in words is "forty million, three hundred sixty-four thousand, nine hundred fifty-seven".