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45795204 = 223272131997
BaseRepresentation
bin1010111010110…
…0011110000100
310012011122012200
42232230132010
543210421304
64313314500
71064152500
oct256543604
9105148180
1045795204
1123939684
1213405a30
139645570
146121300
154048e39
hex2bac784

45795204 has 108 divisors (see below), whose sum is σ = 145090764. Its totient is φ = 12071808.

The previous prime is 45795203. The next prime is 45795209. The reversal of 45795204 is 40259754.

45795204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 42380100 = 1848^2 + 6510^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45795203) 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 35 ways as a sum of consecutive naturals, for example, 21934 + ... + 23930.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 245795204 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 45795204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72545382).

45795204 is an abundant number, since it is smaller than the sum of its proper divisors (99295560).

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

45795204 is a wasteful number, since it uses less digits than its factorization.

45795204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45795204 is about 6767.2153800511. The cubic root of 45795204 is about 357.7722613446.

The spelling of 45795204 in words is "forty-five million, seven hundred ninety-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 1997 2548 3276 3822 3994 5733 5991 7644 7988 11466 11982 13979 17973 22932 23964 25961 27958 35946 41937 51922 55916 71892 77883 83874 97853 103844 125811 155766 167748 181727 195706 233649 251622 293559 311532 363454 391412 467298 503244 545181 587118 726908 880677 934596 1090362 1174236 1272089 1635543 1761354 2180724 2544178 3271086 3522708 3816267 5088356 6542172 7632534 11448801 15265068 22897602 45795204