Search a number
-
+
45918378 = 23211317481
BaseRepresentation
bin1010111100101…
…0100010101010
310012101220011200
42233022202222
543223342003
64320105030
71065204552
oct257124252
9105356150
1045918378
1123a13180
1213465176
13968964c
146154162
1540706a3
hex2bca8aa

45918378 has 48 divisors (see below), whose sum is σ = 112050432. Its totient is φ = 13464000.

The previous prime is 45918371. The next prime is 45918391. The reversal of 45918378 is 87381954.

45918378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45918371) 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 23 ways as a sum of consecutive naturals, for example, 2398 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (2334384).

Almost surely, 245918378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45918378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56025216).

45918378 is an abundant number, since it is smaller than the sum of its proper divisors (66132054).

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

45918378 is a wasteful number, since it uses less digits than its factorization.

45918378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7531 (or 7528 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 45918378 is about 6776.3100578412. The cubic root of 45918378 is about 358.0927373328.

The spelling of 45918378 in words is "forty-five million, nine hundred eighteen thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 7481 14962 22443 44886 67329 82291 134658 164582 231911 246873 463822 493746 695733 740619 1391466 1481238 2087199 2551021 4174398 5102042 7653063 15306126 22959189 45918378