Search a number
-
+
45771966 = 235531777
BaseRepresentation
bin1010111010011…
…0110010111110
310012010110100000
42232212302332
543204200331
64313015130
71064024652
oct256466276
9105113300
1045771966
1123923179
12133b44a6
139637b06
146116a62
1540420e6
hex2ba6cbe

45771966 has 48 divisors (see below), whose sum is σ = 104845104. Its totient is φ = 14961024.

The previous prime is 45771953. The next prime is 45771977. The reversal of 45771966 is 66917754.

It is a happy number.

45771966 is a `hidden beast` number, since 4 + 577 + 19 + 66 = 666.

It is a congruent number.

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, 24870 + ... + 26646.

It is an arithmetic number, because the mean of its divisors is an integer number (2184273).

Almost surely, 245771966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45771966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

45771966 is an abundant number, since it is smaller than the sum of its proper divisors (59073138).

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

45771966 is a wasteful number, since it uses less digits than its factorization.

45771966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 45771966 is about 6765.4982078188. The cubic root of 45771966 is about 357.7117359494.

The spelling of 45771966 in words is "forty-five million, seven hundred seventy-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 954 1431 1777 2862 3554 4293 5331 8586 10662 12879 15993 25758 31986 47979 94181 95958 143937 188362 282543 287874 431811 565086 847629 863622 1695258 2542887 5085774 7628661 15257322 22885983 45771966