Search a number
-
+
45806076 = 22327117921
BaseRepresentation
bin1010111010111…
…1000111111100
310012012012010100
42232233013330
543211243301
64313441100
71064226261
oct256570774
9105165110
1045806076
1123946868
1213410190
13964a4b4
146125268
15404c286
hex2baf1fc

45806076 has 36 divisors (see below), whose sum is σ = 117424944. Its totient is φ = 15052800.

The previous prime is 45806071. The next prime is 45806077. The reversal of 45806076 is 67060854.

It is a happy number.

45806076 is a `hidden beast` number, since 4 + 580 + 6 + 0 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45806076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45806071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6405 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (3261804).

Almost surely, 245806076 is an apocalyptic number.

It is an amenable number.

45806076 is an abundant number, since it is smaller than the sum of its proper divisors (71618868).

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

45806076 is a wasteful number, since it uses less digits than its factorization.

45806076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 45806076 is about 6768.0186169957. The cubic root of 45806076 is about 357.8005713852.

The spelling of 45806076 in words is "forty-five million, eight hundred six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 17921 35842 53763 71684 107526 161289 215052 322578 645156 1272391 2544782 3817173 5089564 7634346 11451519 15268692 22903038 45806076