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264402424 = 231121321011
BaseRepresentation
bin11111100001001…
…11010111111000
3200102112000221101
433300213113320
51020141334144
642123021144
76360245356
oct1760472770
9612460841
10264402424
11126280500
127466a7b4
1342a16050
14271887d6
151832b6d4
hexfc275f8

264402424 has 48 divisors (see below), whose sum is σ = 586865160. Its totient is φ = 110932800.

The previous prime is 264402421. The next prime is 264402431. The reversal of 264402424 is 424204462.

It is a junction number, because it is equal to n+sod(n) for n = 264402392 and 264402401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264402421) 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 11 ways as a sum of consecutive naturals, for example, 2079 + ... + 23089.

Almost surely, 2264402424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293432580).

264402424 is an abundant number, since it is smaller than the sum of its proper divisors (322462736).

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

264402424 is a wasteful number, since it uses less digits than its factorization.

264402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 264402424 is about 16260.4558361689. The cubic root of 264402424 is about 641.8326572835.

Adding to 264402424 its reverse (424204462), we get a palindrome (688606886).

The spelling of 264402424 in words is "two hundred sixty-four million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 6292 12584 21011 42022 84044 168088 231121 273143 462242 546286 924484 1092572 1848968 2185144 2542331 3004573 5084662 6009146 10169324 12018292 20338648 24036584 33050303 66100606 132201212 264402424