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2804292 = 2232611277
BaseRepresentation
bin1010101100101001000100
312021110202200
422230221010
51204214132
6140034500
732556531
oct12545104
95243680
102804292
1116459a7
12b32a30
1377255a
1452dd88
153a5d7c
hex2aca44

2804292 has 36 divisors (see below), whose sum is σ = 7210476. Its totient is φ = 918720.

The previous prime is 2804273. The next prime is 2804293. The reversal of 2804292 is 2924082.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 2005056 = 894^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2804293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558 + ... + 2834.

It is an arithmetic number, because the mean of its divisors is an integer number (200291).

22804292 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 2804292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605238).

2804292 is an abundant number, since it is smaller than the sum of its proper divisors (4406184).

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

2804292 is a wasteful number, since it uses less digits than its factorization.

2804292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2804292 is about 1674.6020422775. The cubic root of 2804292 is about 141.0179545568.

The spelling of 2804292 in words is "two million, eight hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1277 2196 2554 3831 5108 7662 11493 15324 22986 45972 77897 155794 233691 311588 467382 701073 934764 1402146 2804292