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45357937 is a prime number
BaseRepresentation
bin1010110100000…
…1101101110001
310011100102101121
42231001231301
543102423222
64300102241
71060351612
oct255015561
9104312347
1045357937
11236700a9
1213234981
139521521
146049c09
153eae5c7
hex2b41b71

45357937 has 2 divisors, whose sum is σ = 45357938. Its totient is φ = 45357936.

The previous prime is 45357913. The next prime is 45357941. The reversal of 45357937 is 73975354.

It is a happy number.

45357937 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., 40653376 + 4704561 = 6376^2 + 2169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45357937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45357893 and 45357902.

It is not a weakly prime, because it can be changed into another prime (45357437) 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, 22678968 + 22678969.

It is an arithmetic number, because the mean of its divisors is an integer number (22678969).

Almost surely, 245357937 is an apocalyptic number.

It is an amenable number.

45357937 is a deficient number, since it is larger than the sum of its proper divisors (1).

45357937 is an equidigital number, since it uses as much as digits as its factorization.

45357937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396900, while the sum is 43.

The square root of 45357937 is about 6734.8301389122. The cubic root of 45357937 is about 356.6299104211.

The spelling of 45357937 in words is "forty-five million, three hundred fifty-seven thousand, nine hundred thirty-seven".