Search a number
-
+
45794196 = 22327237901
BaseRepresentation
bin1010111010110…
…0001110010100
310012011120211100
42232230032110
543210403241
64313310100
71064146530
oct256541624
9105146740
1045794196
1123938948
1213405330
139644c76
146120bc0
1540489b6
hex2bac394

45794196 has 72 divisors (see below), whose sum is σ = 138063744. Its totient is φ = 12513600.

The previous prime is 45794179. The next prime is 45794213. The reversal of 45794196 is 69149754.

45794196 is a `hidden beast` number, since 457 + 9 + 4 + 196 = 666.

45794196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45794179) and next prime (45794213).

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 23 ways as a sum of consecutive naturals, for example, 1846 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (1917552).

Almost surely, 245794196 is an apocalyptic number.

45794196 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45794196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69031872).

45794196 is an abundant number, since it is smaller than the sum of its proper divisors (92269548).

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

45794196 is a wasteful number, since it uses less digits than its factorization.

45794196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7936 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 45794196 is about 6767.1409029220. The cubic root of 45794196 is about 357.7696363457.

The spelling of 45794196 in words is "forty-five million, seven hundred ninety-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 7901 15802 23703 31604 47406 55307 71109 94812 110614 142218 165921 181723 221228 284436 331842 363446 497763 545169 663684 726892 995526 1090338 1272061 1635507 1991052 2180676 2544122 3271014 3816183 5088244 6542028 7632366 11448549 15264732 22897098 45794196