Search a number
-
+
45727780 = 22572291609
BaseRepresentation
bin1010111001110…
…0000000100100
310012001012201111
42232130000210
543201242110
64312034404
71063452100
oct256340044
9105035644
1045727780
11238a2a5a
1213392a04
139620977
146104900
154033e8a
hex2b9c024

45727780 has 72 divisors (see below), whose sum is σ = 115630200. Its totient is φ = 15128064.

The previous prime is 45727741. The next prime is 45727793. The reversal of 45727780 is 8772754.

It can be written as a sum of positive squares in 4 ways, for example, as 16826404 + 28901376 = 4102^2 + 5376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27616 + ... + 29224.

It is an arithmetic number, because the mean of its divisors is an integer number (1605975).

Almost surely, 245727780 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 45727780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57815100).

45727780 is an abundant number, since it is smaller than the sum of its proper divisors (69902420).

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

45727780 is a wasteful number, since it uses less digits than its factorization.

45727780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 45727780 is about 6762.2318800822. The cubic root of 45727780 is about 357.5965931307.

The spelling of 45727780 in words is "forty-five million, seven hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 1609 2030 2842 3218 4060 5684 6436 7105 8045 11263 14210 16090 22526 28420 32180 45052 46661 56315 78841 93322 112630 157682 186644 225260 233305 315364 326627 394205 466610 653254 788410 933220 1306508 1576820 1633135 2286389 3266270 4572778 6532540 9145556 11431945 22863890 45727780