Search a number
-
+
45115047 = 3241122263
BaseRepresentation
bin1010110000011…
…0011010100111
310010220002012200
42230012122213
543022140142
64250545543
71055320515
oct254063247
9103802180
1045115047
112351466a
12131382b3
139467ac3
145dc54b5
153e6264c
hex2b066a7

45115047 has 12 divisors (see below), whose sum is σ = 66756144. Its totient is φ = 29342880.

The previous prime is 45115043. The next prime is 45115067. The reversal of 45115047 is 74051154.

It is a happy number.

45115047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45115047 - 22 = 45115043 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45115047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45115043) 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, 60763 + ... + 61500.

It is an arithmetic number, because the mean of its divisors is an integer number (5563012).

Almost surely, 245115047 is an apocalyptic number.

45115047 is a deficient number, since it is larger than the sum of its proper divisors (21641097).

45115047 is a wasteful number, since it uses less digits than its factorization.

45115047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122310 (or 122307 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 45115047 is about 6716.7735558079. The cubic root of 45115047 is about 355.9921909451.

The spelling of 45115047 in words is "forty-five million, one hundred fifteen thousand, forty-seven".

Divisors: 1 3 9 41 123 369 122263 366789 1100367 5012783 15038349 45115047