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264864002 = 21353732633
BaseRepresentation
bin11111100100110…
…00000100000010
3200110101111002212
433302120010002
51020301122002
642140542122
76364210154
oct1762300402
9613344085
10264864002
11126566277
1274851942
1342b48180
1427268ad4
15183bd352
hexfc98102

264864002 has 32 divisors (see below), whose sum is σ = 442069488. Its totient is φ = 118250496.

The previous prime is 264864001. The next prime is 264864007. The reversal of 264864002 is 200468462.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73290721 + 191573281 = 8561^2 + 13841^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264864002.

It is not an unprimeable number, because it can be changed into a prime (264864001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99278 + ... + 101910.

Almost surely, 2264864002 is an apocalyptic number.

264864002 is a deficient number, since it is larger than the sum of its proper divisors (177205486).

264864002 is a wasteful number, since it uses less digits than its factorization.

264864002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774.

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 264864002 is about 16274.6429146694. The cubic root of 264864002 is about 642.2059312265.

The spelling of 264864002 in words is "two hundred sixty-four million, eight hundred sixty-four thousand, two".

Divisors: 1 2 13 26 53 73 106 146 689 949 1378 1898 2633 3869 5266 7738 34229 50297 68458 100594 139549 192209 279098 384418 1814137 2498717 3628274 4997434 10187077 20374154 132432001 264864002