Search a number
-
+
366272046 = 232710926669
BaseRepresentation
bin10101110101001…
…101111000101110
3221112012112210100
4111311031320232
51222231201141
6100202251530
712035155350
oct2565157056
9845175710
10366272046
11178829678
12a27b6ba6
135ab6282a
14369050d0
15222500b6
hex15d4de2e

366272046 has 48 divisors (see below), whose sum is σ = 915314400. Its totient is φ = 103685184.

The previous prime is 366272009. The next prime is 366272069. The reversal of 366272046 is 640272663.

It is a happy number.

366272046 is a `hidden beast` number, since 3 + 6 + 627 + 20 + 4 + 6 = 666.

It is a super-2 number, since 2×3662720462 = 268310423362052232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 366272046.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 400 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (19069050).

Almost surely, 2366272046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366272046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457657200).

366272046 is an abundant number, since it is smaller than the sum of its proper divisors (549042354).

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

366272046 is a wasteful number, since it uses less digits than its factorization.

366272046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26793 (or 26790 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 366272046 is about 19138.2351850948. The cubic root of 366272046 is about 715.4861941674.

The spelling of 366272046 in words is "three hundred sixty-six million, two hundred seventy-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 13734 26669 53338 80007 160014 186683 240021 373366 480042 560049 1120098 1680147 2906921 3360294 5813842 8720763 17441526 20348447 26162289 40696894 52324578 61045341 122090682 183136023 366272046