Search a number
-
+
45126126 = 2331749157
BaseRepresentation
bin1010110000100…
…1000111101110
310010220122102000
42230021013232
543023014001
64251113130
71055365023
oct254110756
9103818360
1045126126
1123521a21
12131427a6
13946cb66
145dc954a
153e65a86
hex2b091ee

45126126 has 32 divisors (see below), whose sum is σ = 106181280. Its totient is φ = 14156928.

The previous prime is 45126119. The next prime is 45126163. The reversal of 45126126 is 62162154.

45126126 is a `hidden beast` number, since 45 + 1 + 2 + 612 + 6 = 666.

45126126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 45126126.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23661 + ... + 25496.

It is an arithmetic number, because the mean of its divisors is an integer number (3318165).

Almost surely, 245126126 is an apocalyptic number.

45126126 is an abundant number, since it is smaller than the sum of its proper divisors (61055154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45126126 is a wasteful number, since it uses less digits than its factorization.

45126126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49185 (or 49179 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 45126126 is about 6717.5982315110. The cubic root of 45126126 is about 356.0213291517.

The spelling of 45126126 in words is "forty-five million, one hundred twenty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 49157 98314 147471 294942 442413 835669 884826 1327239 1671338 2507007 2654478 5014014 7521021 15042042 22563063 45126126