Search a number
-
+
45916821 = 335473109
BaseRepresentation
bin1010111100101…
…0001010010101
310012101211001000
42233022022111
543223314241
64320053513
71065200166
oct257121225
9105354030
1045916821
1123a11a95
1213464299
139688a22
14615376d
15406eeb6
hex2bca295

45916821 has 16 divisors (see below), whose sum is σ = 68171200. Its totient is φ = 30545424.

The previous prime is 45916799. The next prime is 45916837. The reversal of 45916821 is 12861954.

45916821 is a `hidden beast` number, since 4 + 591 + 68 + 2 + 1 = 666.

45916821 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 45916821 - 25 = 45916789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45916861) 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 15 ways as a sum of consecutive naturals, for example, 13215 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (4260700).

Almost surely, 245916821 is an apocalyptic number.

It is an amenable number.

45916821 is a deficient number, since it is larger than the sum of its proper divisors (22254379).

45916821 is a wasteful number, since it uses less digits than its factorization.

45916821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3659 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 45916821 is about 6776.1951713332. The cubic root of 45916821 is about 358.0886898852.

The spelling of 45916821 in words is "forty-five million, nine hundred sixteen thousand, eight hundred twenty-one".

Divisors: 1 3 9 27 547 1641 3109 4923 9327 14769 27981 83943 1700623 5101869 15305607 45916821