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2986016 = 251117499
BaseRepresentation
bin1011011001000000100000
312121201001012
423121000200
51231023031
6144000052
734244405
oct13310040
95551035
102986016
11175a490
121000028
13807197
1457a2ac
153deb2b
hex2d9020

2986016 has 48 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 1274880.

The previous prime is 2986003. The next prime is 2986031. The reversal of 2986016 is 6106892.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5735 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

22986016 is an apocalyptic number.

2986016 is the 998-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2986016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2986016 is an abundant number, since it is smaller than the sum of its proper divisors (3817984).

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

2986016 is a wasteful number, since it uses less digits than its factorization.

2986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 2986016 is about 1728.0092592345. The cubic root of 2986016 is about 144.0005144015. Note that the first 3 decimals are identical.

Subtracting from 2986016 its sum of digits (32), we obtain a 6-th power (2985984 = 126).

The spelling of 2986016 in words is "two million, nine hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 499 544 748 998 1496 1996 2992 3992 5489 5984 7984 8483 10978 15968 16966 21956 33932 43912 67864 87824 93313 135728 175648 186626 271456 373252 746504 1493008 2986016