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2853088 = 25747271
BaseRepresentation
bin1010111000100011100000
312100221200221
422320203200
51212244323
6141052424
733152020
oct12704340
95327627
102853088
111679627
12b57114
1378b824
14543a80
153b555d
hex2b88e0

2853088 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 1192320.

The previous prime is 2853083. The next prime is 2853101. The reversal of 2853088 is 8803582.

It is a happy number.

It is a super-2 number, since 2×28530882 = 16280222271488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2853083) 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, 10393 + ... + 10663.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

22853088 is an apocalyptic number.

2853088 is a gapful number since it is divisible by the number (28) 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 2853088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2853088 is an abundant number, since it is smaller than the sum of its proper divisors (3727136).

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

2853088 is a wasteful number, since it uses less digits than its factorization.

2853088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2853088 is about 1689.1086406741. The cubic root of 2853088 is about 141.8311820410.

The spelling of 2853088 in words is "two million, eight hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 271 329 376 542 658 752 1084 1316 1504 1897 2168 2632 3794 4336 5264 7588 8672 10528 12737 15176 25474 30352 50948 60704 89159 101896 178318 203792 356636 407584 713272 1426544 2853088