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64834272 = 2532225119
BaseRepresentation
bin1111011101010…
…0101011100000
311111222220220100
43313110223200
5113044144042
610233342400
71415040126
oct367245340
9144886810
1064834272
1133662a48
1219867a00
1310580499
148879916
155a5a24c
hex3dd4ae0

64834272 has 36 divisors (see below), whose sum is σ = 184373280. Its totient is φ = 21611328.

The previous prime is 64834267. The next prime is 64834279. The reversal of 64834272 is 27243846.

64834272 is a `hidden beast` number, since 648 + 3 + 4 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64834279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112272 + ... + 112847.

It is an arithmetic number, because the mean of its divisors is an integer number (5121480).

Almost surely, 264834272 is an apocalyptic number.

It is an amenable number.

64834272 is an abundant number, since it is smaller than the sum of its proper divisors (119539008).

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

64834272 is a wasteful number, since it uses less digits than its factorization.

64834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225135 (or 225124 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 64834272 is about 8051.9731743219. The cubic root of 64834272 is about 401.7305686991.

The spelling of 64834272 in words is "sixty-four million, eight hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 225119 450238 675357 900476 1350714 1800952 2026071 2701428 3601904 4052142 5402856 7203808 8104284 10805712 16208568 21611424 32417136 64834272