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45693348 = 22317435209
BaseRepresentation
bin1010111001001…
…1100110100100
310011222110111020
42232103212210
543144141343
64311211140
71063246521
oct256234644
9104873436
1045693348
112387a0a8
1213376ab0
13960b0ac
1460d6148
154028b83
hex2b939a4

45693348 has 48 divisors (see below), whose sum is σ = 115536960. Its totient is φ = 13999104.

The previous prime is 45693343. The next prime is 45693407. The reversal of 45693348 is 84339654.

45693348 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 (45693343) 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, 6168 + ... + 11376.

It is an arithmetic number, because the mean of its divisors is an integer number (2407020).

Almost surely, 245693348 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 45693348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57768480).

45693348 is an abundant number, since it is smaller than the sum of its proper divisors (69843612).

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

45693348 is a wasteful number, since it uses less digits than its factorization.

45693348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5274 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 45693348 is about 6759.6854956425. The cubic root of 45693348 is about 357.5068165033.

The spelling of 45693348 in words is "forty-five million, six hundred ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 4386 5209 8772 10418 15627 20836 31254 62508 88553 177106 223987 265659 354212 447974 531318 671961 895948 1062636 1343922 2687844 3807779 7615558 11423337 15231116 22846674 45693348