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4235008 = 2871233
BaseRepresentation
bin10000001001111100000000
321222011100011
4100021330000
52041010013
6230434304
750665651
oct20117400
97864304
104235008
112432908
121502994
13b5382b
147c3528
15589c3d
hex409f00

4235008 has 36 divisors (see below), whose sum is σ = 8609328. Its totient is φ = 2078720.

The previous prime is 4234991. The next prime is 4235017. The reversal of 4235008 is 8005324.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4235008.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 18060 + ... + 18292.

It is an arithmetic number, because the mean of its divisors is an integer number (239148).

Almost surely, 24235008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304664).

4235008 is an abundant number, since it is smaller than the sum of its proper divisors (4374320).

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

4235008 is an equidigital number, since it uses as much as digits as its factorization.

4235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4235008 is about 2057.9135064429. The cubic root of 4235008 is about 161.7899019032.

The spelling of 4235008 in words is "four million, two hundred thirty-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 233 256 284 466 568 932 1136 1864 2272 3728 4544 7456 9088 14912 16543 18176 29824 33086 59648 66172 132344 264688 529376 1058752 2117504 4235008