Search a number
-
+
28266048 = 2632311583
BaseRepresentation
bin110101111010…
…0111001000000
31222012001201200
41223310321000
524214003143
62445501200
7462154206
oct153647100
958161650
1028266048
1114a56778
129571800
135b18995
143a7b076
1527351d3
hex1af4e40

28266048 has 84 divisors (see below), whose sum is σ = 83685888. Its totient is φ = 9112320.

The previous prime is 28265983. The next prime is 28266059. The reversal of 28266048 is 84066282.

28266048 is a `hidden beast` number, since 28 + 26 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17065 + ... + 18647.

Almost surely, 228266048 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 28266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).

28266048 is an abundant number, since it is smaller than the sum of its proper divisors (55419840).

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

28266048 is a wasteful number, since it uses less digits than its factorization.

28266048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28266048 is about 5316.5823608781. The cubic root of 28266048 is about 304.6176270702.

The spelling of 28266048 in words is "twenty-eight million, two hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1583 1984 2232 2976 3166 4464 4749 5952 6332 8928 9498 12664 14247 17856 18996 25328 28494 37992 49073 50656 56988 75984 98146 101312 113976 147219 151968 196292 227952 294438 303936 392584 441657 455904 588876 785168 883314 911808 1177752 1570336 1766628 2355504 3140672 3533256 4711008 7066512 9422016 14133024 28266048