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45537121 = 723725117
BaseRepresentation
bin1010110110110…
…1011101100001
310011200112012001
42231231131201
543124141441
64304004001
71062026200
oct255553541
9104615161
1045537121
1123782793
1213300601
139584c56
146095237
153ee7731
hex2b6d761

45537121 has 12 divisors (see below), whose sum is σ = 54405588. Its totient is φ = 37975392.

The previous prime is 45537113. The next prime is 45537133. The reversal of 45537121 is 12173554.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 10962721 = 5880^2 + 3311^2 .

It is not a de Polignac number, because 45537121 - 23 = 45537113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45537121.

It is not an unprimeable number, because it can be changed into a prime (45537161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10746 + ... + 14371.

It is an arithmetic number, because the mean of its divisors is an integer number (4533799).

Almost surely, 245537121 is an apocalyptic number.

It is an amenable number.

45537121 is a deficient number, since it is larger than the sum of its proper divisors (8868467).

45537121 is a wasteful number, since it uses less digits than its factorization.

45537121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25168 (or 25161 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The square root of 45537121 is about 6748.1198122144. The cubic root of 45537121 is about 357.0989089007.

It can be divided in two parts, 45 and 537121, that added together give a triangular number (537166 = T1036).

The spelling of 45537121 in words is "forty-five million, five hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 7 37 49 259 1813 25117 175819 929329 1230733 6505303 45537121