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264413133 = 3331131489
BaseRepresentation
bin11111100001010…
…01111111001101
3200102112120122000
433300221333031
51020142210013
642123142513
76360321525
oct1760517715
9612476560
10264413133
11126288556
1274674a39
1342a1ab9a
142718c685
151832e973
hexfc29fcd

264413133 has 16 divisors (see below), whose sum is σ = 392995200. Its totient is φ = 175703040.

The previous prime is 264413119. The next prime is 264413143. The reversal of 264413133 is 331314462.

264413133 is a `hidden beast` number, since 2 + 644 + 1 + 3 + 13 + 3 = 666.

It is not a de Polignac number, because 264413133 - 26 = 264413069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 264413097 and 264413106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264413113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348 + ... + 24141.

It is an arithmetic number, because the mean of its divisors is an integer number (24562200).

Almost surely, 2264413133 is an apocalyptic number.

It is an amenable number.

264413133 is a deficient number, since it is larger than the sum of its proper divisors (128582067).

264413133 is a wasteful number, since it uses less digits than its factorization.

264413133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31809 (or 31803 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 264413133 is about 16260.7851286462. The cubic root of 264413133 is about 641.8413224753.

Adding to 264413133 its reverse (331314462), we get a palindrome (595727595).

The spelling of 264413133 in words is "two hundred sixty-four million, four hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 311 933 2799 8397 31489 94467 283401 850203 9793079 29379237 88137711 264413133