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2800992 = 253163179
BaseRepresentation
bin1010101011110101100000
312021022020110
422223311200
51204112432
6140011320
732544105
oct12536540
95238213
102800992
111643477
12b30b40
13770bbc
1452caac
153a4dcc
hex2abd60

2800992 has 48 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 922752.

The previous prime is 2800991. The next prime is 2801003. The reversal of 2800992 is 2990082.

2800992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800991) 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, 15559 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

22800992 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 2800992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

2800992 is an abundant number, since it is smaller than the sum of its proper divisors (4638048).

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

2800992 is a wasteful number, since it uses less digits than its factorization.

2800992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2800992 is about 1673.6164435139. The cubic root of 2800992 is about 140.9626177244.

The spelling of 2800992 in words is "two million, eight hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 179 326 358 489 537 652 716 978 1074 1304 1432 1956 2148 2608 2864 3912 4296 5216 5728 7824 8592 15648 17184 29177 58354 87531 116708 175062 233416 350124 466832 700248 933664 1400496 2800992