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264000412 = 221317734091
BaseRepresentation
bin11111011110001…
…01001110011100
3200101202121111001
433233011032130
51020041003122
642110240044
76353652334
oct1757051634
9611677431
10264000412
11126026465
12744b6024
1342905080
14270c20c4
151829c527
hexfbc539c

264000412 has 48 divisors (see below), whose sum is σ = 534153312. Its totient is φ = 113080320.

The previous prime is 264000403. The next prime is 264000413. The reversal of 264000412 is 214000462.

It is a self number, because there is not a number n which added to its sum of digits gives 264000412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264000413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62487 + ... + 66577.

It is an arithmetic number, because the mean of its divisors is an integer number (11128194).

Almost surely, 2264000412 is an apocalyptic number.

It is an amenable number.

264000412 is an abundant number, since it is smaller than the sum of its proper divisors (270152900).

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

264000412 is a wasteful number, since it uses less digits than its factorization.

264000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 264000412 is about 16248.0894876905. The cubic root of 264000412 is about 641.5071997122.

Adding to 264000412 its reverse (214000462), we get a palindrome (478000874).

The spelling of 264000412 in words is "two hundred sixty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 13 17 26 34 52 68 73 146 221 292 442 884 949 1241 1898 2482 3796 4091 4964 8182 16133 16364 32266 53183 64532 69547 106366 139094 212732 278188 298643 597286 904111 1194572 1808222 3616444 3882359 5076931 7764718 10153862 15529436 20307724 66000103 132000206 264000412