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2876016 = 2431113419
BaseRepresentation
bin1010111110001001110000
312102010011010
422332021300
51214013031
6141350520
733305613
oct12761160
95363133
102876016
111694880
12b68440
137990b0
1454c17a
153bc246
hex2be270

2876016 has 80 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 802560.

The previous prime is 2875991. The next prime is 2876021. The reversal of 2876016 is 6106782.

It is a happy number.

2876016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6655 + ... + 7073.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

22876016 is an apocalyptic number.

2876016 is a gapful number since it is divisible by the number (26) 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 2876016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

2876016 is an abundant number, since it is smaller than the sum of its proper divisors (5873424).

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

2876016 is a wasteful number, since it uses less digits than its factorization.

2876016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2876016 is about 1695.8820713717. The cubic root of 2876016 is about 142.2100969842.

The spelling of 2876016 in words is "two million, eight hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 419 429 528 572 624 838 858 1144 1257 1676 1716 2288 2514 3352 3432 4609 5028 5447 6704 6864 9218 10056 10894 13827 16341 18436 20112 21788 27654 32682 36872 43576 55308 59917 65364 73744 87152 110616 119834 130728 179751 221232 239668 261456 359502 479336 719004 958672 1438008 2876016