Search a number
-
+
28242018 = 23271947251
BaseRepresentation
bin110101110111…
…1000001100010
31222010211202200
41223233001202
524212221033
62445154030
7462024150
oct153570142
958124680
1028242018
1114a3a712
12955b916
135b0aa6c
143a723d0
15272d013
hex1aef062

28242018 has 96 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 7452000.

The previous prime is 28242007. The next prime is 28242047. The reversal of 28242018 is 81024282.

It is a super-2 number, since 2×282420182 = 1595223161424648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28241982 and 28242000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112393 + ... + 112643.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 228242018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28242018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

28242018 is an abundant number, since it is smaller than the sum of its proper divisors (47237022).

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

28242018 is a wasteful number, since it uses less digits than its factorization.

28242018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28242018 is about 5314.3219699224. The cubic root of 28242018 is about 304.5312804058.

The spelling of 28242018 in words is "twenty-eight million, two hundred forty-two thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 47 57 63 94 114 126 133 141 171 251 266 282 329 342 399 423 502 658 753 798 846 893 987 1197 1506 1757 1786 1974 2259 2394 2679 2961 3514 4518 4769 5271 5358 5922 6251 8037 9538 10542 11797 12502 14307 15813 16074 18753 23594 28614 31626 33383 35391 37506 42921 56259 66766 70782 82579 85842 100149 106173 112518 165158 200298 212346 224143 247737 300447 448286 495474 600894 672429 743211 1344858 1486422 1569001 2017287 3138002 4034574 4707003 9414006 14121009 28242018