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2878096 = 2413101137
BaseRepresentation
bin1010111110101010010000
312102020000011
422332222100
51214044341
6141404304
733314644
oct12765220
95366004
102878096
1116963a1
12b69694
1379a020
1454cc24
153bcb81
hex2bea90

2878096 has 40 divisors (see below), whose sum is σ = 6108984. Its totient is φ = 1305600.

The previous prime is 2878093. The next prime is 2878123. The reversal of 2878096 is 6908782.

2878096 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 4 ways, for example, as 746496 + 2131600 = 864^2 + 1460^2 .

It is not an unprimeable number, because it can be changed into a prime (2878093) 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 7 ways as a sum of consecutive naturals, for example, 20940 + ... + 21076.

22878096 is an apocalyptic number.

2878096 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 2878096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054492).

2878096 is an abundant number, since it is smaller than the sum of its proper divisors (3230888).

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

2878096 is a wasteful number, since it uses less digits than its factorization.

2878096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2878096 is about 1696.4952107212. The cubic root of 2878096 is about 142.2443719119.

The spelling of 2878096 in words is "two million, eight hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 101 104 137 202 208 274 404 548 808 1096 1313 1616 1781 2192 2626 3562 5252 7124 10504 13837 14248 21008 27674 28496 55348 110696 179881 221392 359762 719524 1439048 2878096