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2799216 = 243272777
BaseRepresentation
bin1010101011011001110000
312021012210200
422223121300
51204033331
6135555200
732535660
oct12533160
95235720
102799216
111642102
12b2bb00
13770154
1452c1a0
153a45e6
hex2ab670

2799216 has 60 divisors (see below), whose sum is σ = 8956272. Its totient is φ = 799488.

The previous prime is 2799211. The next prime is 2799217. The reversal of 2799216 is 6129972.

2799216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27992162 = 15671220429312, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2799211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 381 + ... + 2396.

22799216 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 2799216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478136).

2799216 is an abundant number, since it is smaller than the sum of its proper divisors (6157056).

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

2799216 is a wasteful number, since it uses less digits than its factorization.

2799216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2789 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2799216 is about 1673.0857718599. The cubic root of 2799216 is about 140.9328184557.

The spelling of 2799216 in words is "two million, seven hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2777 5554 8331 11108 16662 19439 22216 24993 33324 38878 44432 49986 58317 66648 77756 99972 116634 133296 155512 174951 199944 233268 311024 349902 399888 466536 699804 933072 1399608 2799216