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4233864 = 233672633
BaseRepresentation
bin10000001001101010001000
321222002202210
4100021222020
52040440424
6230425120
750662425
oct20115210
97862683
104233864
112431a68
1215021a0
13b5315b
147c2d4c
15589729
hex409a88

4233864 has 32 divisors (see below), whose sum is σ = 10746720. Its totient is φ = 1389696.

The previous prime is 4233857. The next prime is 4233869. The reversal of 4233864 is 4683324.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 215 + 3 + 38 + 8 + 63 + 411 .

It is not an unprimeable number, because it can be changed into a prime (4233869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (335835).

Almost surely, 24233864 is an apocalyptic number.

It is an amenable number.

4233864 is an abundant number, since it is smaller than the sum of its proper divisors (6512856).

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

4233864 is a wasteful number, since it uses less digits than its factorization.

4233864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2705 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4233864 is about 2057.6355362406. The cubic root of 4233864 is about 161.7753325237.

The spelling of 4233864 in words is "four million, two hundred thirty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 2633 5266 7899 10532 15798 21064 31596 63192 176411 352822 529233 705644 1058466 1411288 2116932 4233864