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2800296 = 2332192389
BaseRepresentation
bin1010101011101010101000
312021021021200
422223222220
51204102141
6140004200
732542062
oct12535250
95237250
102800296
1116429a4
12b30660
137707a5
1452c732
153a4ab6
hex2abaa8

2800296 has 96 divisors (see below), whose sum is σ = 8424000. Its totient is φ = 836352.

The previous prime is 2800283. The next prime is 2800309. The reversal of 2800296 is 6920082.

2800296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2800283) and next prime (2800309).

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 23 ways as a sum of consecutive naturals, for example, 31420 + ... + 31508.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

22800296 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 2800296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2800296 is an abundant number, since it is smaller than the sum of its proper divisors (5623704).

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

2800296 is a wasteful number, since it uses less digits than its factorization.

2800296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2800296 is about 1673.4084976478. The cubic root of 2800296 is about 140.9509411340.

The spelling of 2800296 in words is "two million, eight hundred thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 89 92 114 138 152 171 178 184 207 228 267 276 342 356 414 437 456 534 552 684 712 801 828 874 1068 1311 1368 1602 1656 1691 1748 2047 2136 2622 3204 3382 3496 3933 4094 5073 5244 6141 6408 6764 7866 8188 10146 10488 12282 13528 15219 15732 16376 18423 20292 24564 30438 31464 36846 38893 40584 49128 60876 73692 77786 116679 121752 147384 155572 233358 311144 350037 466716 700074 933432 1400148 2800296