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2852096 = 2813857
BaseRepresentation
bin1010111000010100000000
312100220100012
422320110000
51212231341
6141044052
733146102
oct12702400
95326305
102852096
111678905
12b56628
1378b240
14543572
153b50eb
hex2b8500

2852096 has 36 divisors (see below), whose sum is σ = 6138132. Its totient is φ = 1314816.

The previous prime is 2852081. The next prime is 2852099. The reversal of 2852096 is 6902582.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 1254400 = 1264^2 + 1120^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2900 + ... + 3756.

22852096 is an apocalyptic number.

2852096 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 2852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069066).

2852096 is an abundant number, since it is smaller than the sum of its proper divisors (3286036).

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

2852096 is an equidigital number, since it uses as much as digits as its factorization.

2852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2852096 is about 1688.8149691426. The cubic root of 2852096 is about 141.8147422113.

The spelling of 2852096 in words is "two million, eight hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 857 1664 1714 3328 3428 6856 11141 13712 22282 27424 44564 54848 89128 109696 178256 219392 356512 713024 1426048 2852096