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4294864 = 247311237
BaseRepresentation
bin10000011000100011010000
322002012110001
4100120203100
52044413424
6232015344
751335320
oct20304320
98065401
104294864
112473882
121531554
13b74b52
147db280
1559c844
hex4188d0

4294864 has 40 divisors (see below), whose sum is σ = 9824768. Its totient is φ = 1779840.

The previous prime is 4294847. The next prime is 4294867. The reversal of 4294864 is 4684924.

It is a super-3 number, since 3×42948643 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294867) 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, 2854 + ... + 4090.

Almost surely, 24294864 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 4294864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912384).

4294864 is an abundant number, since it is smaller than the sum of its proper divisors (5529904).

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

4294864 is a wasteful number, since it uses less digits than its factorization.

4294864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 4294864 is about 2072.4053657526. The cubic root of 4294864 is about 162.5485645773.

The spelling of 4294864 in words is "four million, two hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1237 1736 2474 3472 4948 8659 9896 17318 19792 34636 38347 69272 76694 138544 153388 268429 306776 536858 613552 1073716 2147432 4294864