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2827872 = 25341091
BaseRepresentation
bin1010110010011001100000
312022200010000
422302121200
51210442442
6140340000
733015345
oct12623140
95280100
102827872
111661693
12b44600
137801c8
145387cc
153acd4c
hex2b2660

2827872 has 60 divisors (see below), whose sum is σ = 8324316. Its totient is φ = 941760.

The previous prime is 2827823. The next prime is 2827901. The reversal of 2827872 is 2787282.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2047 + ... + 3137.

22827872 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 2827872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162158).

2827872 is an abundant number, since it is smaller than the sum of its proper divisors (5496444).

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

2827872 is a wasteful number, since it uses less digits than its factorization.

2827872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1096 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2827872 is about 1681.6277828342. The cubic root of 2827872 is about 141.4121035529.

The spelling of 2827872 in words is "two million, eight hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1091 1296 2182 2592 3273 4364 6546 8728 9819 13092 17456 19638 26184 29457 34912 39276 52368 58914 78552 88371 104736 117828 157104 176742 235656 314208 353484 471312 706968 942624 1413936 2827872