Search a number
-
+
264104856 = 233229126487
BaseRepresentation
bin11111011110111…
…10101110011000
3200101221220202100
433233132232120
51020102323411
642112403400
76354566001
oct1757365630
9611856670
10264104856
11126097984
1274546560
1342940782
142710c1a8
15182bd456
hexfbdeb98

264104856 has 48 divisors (see below), whose sum is σ = 739954800. Its totient is φ = 84998592.

The previous prime is 264104851. The next prime is 264104857. The reversal of 264104856 is 658401462.

264104856 is a `hidden beast` number, since 2 + 641 + 0 + 4 + 8 + 5 + 6 = 666.

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 264104856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264104851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61156 + ... + 65331.

It is an arithmetic number, because the mean of its divisors is an integer number (15415725).

Almost surely, 2264104856 is an apocalyptic number.

It is an amenable number.

264104856 is an abundant number, since it is smaller than the sum of its proper divisors (475849944).

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

264104856 is a wasteful number, since it uses less digits than its factorization.

264104856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126528 (or 126521 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 264104856 is about 16251.3032092814. The cubic root of 264104856 is about 641.5917863784.

The spelling of 264104856 in words is "two hundred sixty-four million, one hundred four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 126487 252974 379461 505948 758922 1011896 1138383 1517844 2276766 3035688 3668123 4553532 7336246 9107064 11004369 14672492 22008738 29344984 33013107 44017476 66026214 88034952 132052428 264104856