Search a number
-
+
2887088072 = 231141572
BaseRepresentation
bin1010110000010101…
…0111011111001000
321110012120021021212
42230011113133020
521403043304242
61154252152252
7131354562251
oct25405273710
97405507255
102887088072
111251760000
12686a68688
1337019c94b
141d5613b28
1511d6dd782
hexac1577c8

2887088072 has 60 divisors (see below), whose sum is σ = 5992751025. Its totient is φ = 1303954080.

The previous prime is 2887088051. The next prime is 2887088077. The reversal of 2887088072 is 2708807882.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2887088072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2757720196 + 129367876 = 52514^2 + 11374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=37994.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2887088072.

It is not an unprimeable number, because it can be changed into a prime (2887088077) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18389018 + ... + 18389174.

Almost surely, 22887088072 is an apocalyptic number.

2887088072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2887088072

2887088072 is an abundant number, since it is smaller than the sum of its proper divisors (3105662953).

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

2887088072 is an frugal number, since it uses more digits than its factorization.

2887088072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 50.

The square root of 2887088072 is about 53731.6300888034. The cubic root of 2887088072 is about 1423.9235653646.

Multiplying 2887088072 by its sum of digits (50), we get a square (144354403600 = 3799402).

The spelling of 2887088072 in words is "two billion, eight hundred eighty-seven million, eighty-eight thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1331 1727 2662 3454 5324 6908 10648 13816 14641 18997 24649 29282 37994 49298 58564 75988 98596 117128 151976 197192 208967 271139 417934 542278 835868 1084556 1671736 2169112 2298637 2982529 4597274 5965058 9194548 11930116 18389096 23860232 32807819 65615638 131231276 262462552 360886009 721772018 1443544036 2887088072