Search a number
-
+
264358081 = 1323767631
BaseRepresentation
bin11111100000111…
…00100011000001
3200102102210010001
433300130203001
51020133424311
642122040001
76360002161
oct1760344301
9612383101
10264358081
11126250159
1274649001
13429cbb00
14271765a1
151831d4c1
hexfc1c8c1

264358081 has 24 divisors (see below), whose sum is σ = 298855104. Its totient is φ = 233513280.

The previous prime is 264358057. The next prime is 264358093. The reversal of 264358081 is 180853462.

It is a happy number.

It is not a de Polignac number, because 264358081 - 213 = 264349889 is a prime.

It is a super-2 number, since 2×2643580812 = 139770389980005122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264358081.

It is not an unprimeable number, because it can be changed into a prime (264358051) 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, 418636 + ... + 419266.

It is an arithmetic number, because the mean of its divisors is an integer number (12452296).

Almost surely, 2264358081 is an apocalyptic number.

It is an amenable number.

264358081 is a deficient number, since it is larger than the sum of its proper divisors (34497023).

264358081 is a wasteful number, since it uses less digits than its factorization.

264358081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 264358081 is about 16259.0922563346. The cubic root of 264358081 is about 641.7967746363.

The spelling of 264358081 in words is "two hundred sixty-four million, three hundred fifty-eight thousand, eighty-one".

Divisors: 1 13 37 67 169 481 631 871 2479 6253 8203 11323 23347 32227 42277 106639 303511 418951 549601 1564249 3945643 7144813 20335237 264358081