Search a number
-
+
286924128 = 2536734441
BaseRepresentation
bin10001000110100…
…001110101100000
3201222220020220120
4101012201311200
51041423033003
644245440240
710052546331
oct2106416540
9658806816
10286924128
11137a63387
1280110080
13475a01ba
142a16c288
151a2c9853
hex111a1d60

286924128 has 48 divisors (see below), whose sum is σ = 754464816. Its totient is φ = 95477760.

The previous prime is 286924117. The next prime is 286924151. The reversal of 286924128 is 821429682.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 286924128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62388 + ... + 66828.

It is an arithmetic number, because the mean of its divisors is an integer number (15718017).

Almost surely, 2286924128 is an apocalyptic number.

It is an amenable number.

286924128 is an abundant number, since it is smaller than the sum of its proper divisors (467540688).

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

286924128 is a wasteful number, since it uses less digits than its factorization.

286924128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 286924128 is about 16938.8349068051. The cubic root of 286924128 is about 659.5620970318.

The spelling of 286924128 in words is "two hundred eighty-six million, nine hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 673 1346 2019 2692 4038 4441 5384 8076 8882 10768 13323 16152 17764 21536 26646 32304 35528 53292 64608 71056 106584 142112 213168 426336 2988793 5977586 8966379 11955172 17932758 23910344 35865516 47820688 71731032 95641376 143462064 286924128