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264350521 = 1149722993
BaseRepresentation
bin11111100000110…
…10101100111001
3200102102101202001
433300122230321
51020133204041
642121541001
76356641141
oct1760325471
9612371661
10264350521
11126245506
1274644761
13429c8536
1427173921
151831b131
hexfc1ab39

264350521 has 4 divisors (see below), whose sum is σ = 264385012. Its totient is φ = 264316032.

The previous prime is 264350519. The next prime is 264350539. The reversal of 264350521 is 125053462.

264350521 is a nontrivial binomial coefficient, being equal to C(22994, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 189337600 + 75012921 = 13760^2 + 8661^2 .

It is a 3-Lehmer number, since φ(264350521) divides (264350521-1)3.

It is a cyclic number.

It is not a de Polignac number, because 264350521 - 21 = 264350519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264350521.

It is not an unprimeable number, because it can be changed into a prime (264357521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 22993.

It is an arithmetic number, because the mean of its divisors is an integer number (66096253).

It is a Poulet number, since it divides 2264350520-1.

Almost surely, 2264350521 is an apocalyptic number.

264350521 is the 22993-rd triangular number and also the 11497-th hexagonal number.

264350521 is the 7665-th centered nonagonal number.

It is an amenable number.

264350521 is a deficient number, since it is larger than the sum of its proper divisors (34491).

264350521 is a wasteful number, since it uses less digits than its factorization.

264350521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34490.

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 264350521 is about 16258.8597693688. The cubic root of 264350521 is about 641.7906566342.

The spelling of 264350521 in words is "two hundred sixty-four million, three hundred fifty thousand, five hundred twenty-one".

Divisors: 1 11497 22993 264350521