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45314137 = 1121971901
BaseRepresentation
bin1010110011011…
…1000001011001
310011021012022101
42230313001121
543100023022
64255123401
71060110121
oct254670131
9104235271
1045314137
1123640200
1213213561
1395075cb
146037c81
153ea1627
hex2b37059

45314137 has 12 divisors (see below), whose sum is σ = 50087268. Its totient is φ = 40964000.

The previous prime is 45314123. The next prime is 45314141. The reversal of 45314137 is 73141354.

45314137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26050816 + 19263321 = 5104^2 + 4389^2 .

It is not a de Polignac number, because 45314137 - 223 = 36925529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45314147) 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 in 11 ways as a sum of consecutive naturals, for example, 22887 + ... + 24787.

It is an arithmetic number, because the mean of its divisors is an integer number (4173939).

Almost surely, 245314137 is an apocalyptic number.

It is an amenable number.

45314137 is a deficient number, since it is larger than the sum of its proper divisors (4773131).

45314137 is a wasteful number, since it uses less digits than its factorization.

45314137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2109 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 45314137 is about 6731.5776011274. The cubic root of 45314137 is about 356.5150799433.

It can be divided in two parts, 45314 and 137, that added together give a triangular number (45451 = T301).

The spelling of 45314137 in words is "forty-five million, three hundred fourteen thousand, one hundred thirty-seven".

Divisors: 1 11 121 197 1901 2167 20911 23837 230021 374497 4119467 45314137