Search a number
-
+
45758220 = 223517113397
BaseRepresentation
bin1010111010001…
…1011100001100
310012002202110220
42232203130030
543203230340
64312431340
71063636614
oct256433414
9105082426
1045758220
1123913912
12133a8550
139631791
146111a44
15403ced0
hex2ba370c

45758220 has 96 divisors (see below), whose sum is σ = 137204928. Its totient is φ = 11354112.

The previous prime is 45758189. The next prime is 45758231. The reversal of 45758220 is 2285754.

45758220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 115062 + ... + 115458.

It is an arithmetic number, because the mean of its divisors is an integer number (1429218).

Almost surely, 245758220 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 45758220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602464).

45758220 is an abundant number, since it is smaller than the sum of its proper divisors (91446708).

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

45758220 is a wasteful number, since it uses less digits than its factorization.

45758220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45758220 is about 6764.4822418275. The cubic root of 45758220 is about 357.6759236517.

The spelling of 45758220 in words is "forty-five million, seven hundred fifty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 113 170 204 226 255 339 340 397 452 510 565 678 794 1020 1130 1191 1356 1588 1695 1921 1985 2260 2382 3390 3842 3970 4764 5763 5955 6749 6780 7684 7940 9605 11526 11910 13498 19210 20247 23052 23820 26996 28815 33745 38420 40494 44861 57630 67490 80988 89722 101235 115260 134583 134980 179444 202470 224305 269166 404940 448610 538332 672915 762637 897220 1345830 1525274 2287911 2691660 3050548 3813185 4575822 7626370 9151644 11439555 15252740 22879110 45758220