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2863296 = 26331657
BaseRepresentation
bin1010111011000011000000
312101110201000
422323003000
51213111141
6141212000
733223542
oct12730300
95343630
102863296
111686267
12b61000
13793377
14547692
153b85b6
hex2bb0c0

2863296 has 56 divisors (see below), whose sum is σ = 8422640. Its totient is φ = 953856.

The previous prime is 2863291. The next prime is 2863303. The reversal of 2863296 is 6923682.

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 nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2863296.

It is not an unprimeable number, because it can be changed into a prime (2863291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900 + ... + 2556.

22863296 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 2863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211320).

2863296 is an abundant number, since it is smaller than the sum of its proper divisors (5559344).

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

2863296 is a wasteful number, since it uses less digits than its factorization.

2863296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1662 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2863296 is about 1692.1276547589. The cubic root of 2863296 is about 142.0001322488. Note that the first 3 decimals are identical.

The spelling of 2863296 in words is "two million, eight hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1657 1728 3314 4971 6628 9942 13256 14913 19884 26512 29826 39768 44739 53024 59652 79536 89478 106048 119304 159072 178956 238608 318144 357912 477216 715824 954432 1431648 2863296