Search a number
-
+
77364243 = 32111934049
BaseRepresentation
bin1001001110001…
…11110000010011
312101120111210100
410213013300103
5124301123433
611402103443
71626404505
oct447076023
9171514710
1077364243
113a7409a0
1221aaab83
1313049778
14a3bbd75
156bd2b13
hex49c7c13

77364243 has 24 divisors (see below), whose sum is σ = 122569200. Its totient is φ = 46632960.

The previous prime is 77364211. The next prime is 77364269. The reversal of 77364243 is 34246377.

It is a happy number.

77364243 is a `hidden beast` number, since 7 + 7 + 3 + 642 + 4 + 3 = 666.

It is not a de Polignac number, because 77364243 - 25 = 77364211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77364198 and 77364207.

It is not an unprimeable number, because it can be changed into a prime (77354243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17083 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (5107050).

Almost surely, 277364243 is an apocalyptic number.

77364243 is a deficient number, since it is larger than the sum of its proper divisors (45204957).

77364243 is a wasteful number, since it uses less digits than its factorization.

77364243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4256 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 77364243 is about 8795.6945717777. The cubic root of 77364243 is about 426.1018568845.

The spelling of 77364243 in words is "seventy-seven million, three hundred sixty-four thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 193 579 1737 2123 4049 6369 12147 19107 36441 44539 133617 400851 781457 2344371 7033113 8596027 25788081 77364243