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45268037 is a prime number
BaseRepresentation
bin1010110010101…
…1110001000101
310011011212001222
42230223301011
543042034122
64254130125
71056525533
oct254536105
9104155058
1045268037
1123609601
12131b0945
1394bc629
146025153
153e92b42
hex2b2bc45

45268037 has 2 divisors, whose sum is σ = 45268038. Its totient is φ = 45268036.

The previous prime is 45268031. The next prime is 45268063. The reversal of 45268037 is 73086254.

It is a happy number.

45268037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41977441 + 3290596 = 6479^2 + 1814^2 .

It is a cyclic number.

It is not a de Polignac number, because 45268037 - 212 = 45263941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45267988 and 45268006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45268031) 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, 22634018 + 22634019.

It is an arithmetic number, because the mean of its divisors is an integer number (22634019).

Almost surely, 245268037 is an apocalyptic number.

It is an amenable number.

45268037 is a deficient number, since it is larger than the sum of its proper divisors (1).

45268037 is an equidigital number, since it uses as much as digits as its factorization.

45268037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 45268037 is about 6728.1525696137. The cubic root of 45268037 is about 356.3941396005.

The spelling of 45268037 in words is "forty-five million, two hundred sixty-eight thousand, thirty-seven".