Search a number
-
+
45921392 = 24111132309
BaseRepresentation
bin1010111100101…
…1010001110000
310012102001022022
42233023101300
543223441032
64320131012
71065216416
oct257132160
9105361268
1045921392
1123a15470
1213466a68
13968ab2a
1461552b6
154071512
hex2bcb470

45921392 has 40 divisors (see below), whose sum is σ = 97962480. Its totient is φ = 20679680.

The previous prime is 45921391. The next prime is 45921457. The reversal of 45921392 is 29312954.

45921392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45921391) 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 7 ways as a sum of consecutive naturals, for example, 18734 + ... + 21042.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 245921392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45921392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981240).

45921392 is an abundant number, since it is smaller than the sum of its proper divisors (52041088).

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

45921392 is a wasteful number, since it uses less digits than its factorization.

45921392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 45921392 is about 6776.5324466131. The cubic root of 45921392 is about 358.1005720165.

The spelling of 45921392 in words is "forty-five million, nine hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2309 2486 4618 4972 9236 9944 18472 19888 25399 36944 50798 101596 203192 260917 406384 521834 1043668 2087336 2870087 4174672 5740174 11480348 22960696 45921392