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264645642 = 23195343801
BaseRepresentation
bin11111100011000…
…10110000001010
3200102222101120110
433301202300022
51020222130032
642132135150
76362310432
oct1761426012
9612871513
10264645642
11126427208
12747674b6
1342a9c971
142720d2c2
15183787cc
hexfc62c0a

264645642 has 32 divisors (see below), whose sum is σ = 567673920. Its totient is φ = 81993600.

The previous prime is 264645629. The next prime is 264645649. The reversal of 264645642 is 246546462.

264645642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 264645642.

It is not an unprimeable number, because it can be changed into a prime (264645649) 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 15 ways as a sum of consecutive naturals, for example, 15859 + ... + 27942.

It is an arithmetic number, because the mean of its divisors is an integer number (17739810).

Almost surely, 2264645642 is an apocalyptic number.

264645642 is an abundant number, since it is smaller than the sum of its proper divisors (303028278).

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

264645642 is a wasteful number, since it uses less digits than its factorization.

264645642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43878.

The product of its digits is 276480, while the sum is 39.

The square root of 264645642 is about 16267.9329356867. The cubic root of 264645642 is about 642.0293995717.

The spelling of 264645642 in words is "two hundred sixty-four million, six hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 19 38 53 57 106 114 159 318 1007 2014 3021 6042 43801 87602 131403 262806 832219 1664438 2321453 2496657 4642906 4993314 6964359 13928718 44107607 88215214 132322821 264645642