Search a number
-
+
45855261 = 3323411801
BaseRepresentation
bin1010111011101…
…1001000011101
310012021200121000
42232323020131
543214332021
64314500513
71064522544
oct256731035
9105250530
1045855261
112397a811
1213434739
1396669ba
14613915b
15405bb26
hex2bbb21d

45855261 has 32 divisors (see below), whose sum is σ = 72656640. Its totient is φ = 28512000.

The previous prime is 45855191. The next prime is 45855263. The reversal of 45855261 is 16255854.

45855261 is a `hidden beast` number, since 45 + 8 + 552 + 61 = 666.

It is not a de Polignac number, because 45855261 - 213 = 45847069 is a prime.

It is a super-2 number, since 2×458552612 = 4205409922756242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45855263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24561 + ... + 26361.

It is an arithmetic number, because the mean of its divisors is an integer number (2270520).

Almost surely, 245855261 is an apocalyptic number.

45855261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45855261 is a deficient number, since it is larger than the sum of its proper divisors (26801379).

45855261 is a wasteful number, since it uses less digits than its factorization.

45855261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1868 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45855261 is about 6771.6512757229. The cubic root of 45855261 is about 357.9285902533.

The spelling of 45855261 in words is "forty-five million, eight hundred fifty-five thousand, two hundred sixty-one".

Divisors: 1 3 9 23 27 41 69 123 207 369 621 943 1107 1801 2829 5403 8487 16209 25461 41423 48627 73841 124269 221523 372807 664569 1118421 1698343 1993707 5095029 15285087 45855261