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45437261 is a prime number
BaseRepresentation
bin1010110101010…
…1000101001101
310011111110012112
42231111011031
543112443021
64301513405
71061132102
oct255250515
9104443175
1045437261
1123714761
1213272865
13954b66c
14606aaa9
153ec7d5b
hex2b5514d

45437261 has 2 divisors, whose sum is σ = 45437262. Its totient is φ = 45437260.

The previous prime is 45437251. The next prime is 45437263. The reversal of 45437261 is 16273454.

45437261 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., 43494025 + 1943236 = 6595^2 + 1394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45437261 is a prime.

Together with 45437263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45437263) 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, 22718630 + 22718631.

It is an arithmetic number, because the mean of its divisors is an integer number (22718631).

Almost surely, 245437261 is an apocalyptic number.

It is an amenable number.

45437261 is a deficient number, since it is larger than the sum of its proper divisors (1).

45437261 is an equidigital number, since it uses as much as digits as its factorization.

45437261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 32.

The square root of 45437261 is about 6740.7166532944. The cubic root of 45437261 is about 356.8376861540.

The spelling of 45437261 in words is "forty-five million, four hundred thirty-seven thousand, two hundred sixty-one".