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2835896 = 23789569
BaseRepresentation
bin1010110100010110111000
312100002010012
422310112320
51211222041
6140441052
733050630
oct12642670
95302105
102835896
111667718
12b49188
13783a5b
1453b6c0
153b03eb
hex2b45b8

2835896 has 32 divisors (see below), whose sum is σ = 6156000. Its totient is φ = 1199616.

The previous prime is 2835887. The next prime is 2835901. The reversal of 2835896 is 6985382.

2835896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28358962 = 16084612245632, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4700 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (192375).

22835896 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 2835896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078000).

2835896 is an abundant number, since it is smaller than the sum of its proper divisors (3320104).

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

2835896 is a wasteful number, since it uses less digits than its factorization.

2835896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 2835896 is about 1684.0118764427. The cubic root of 2835896 is about 141.5457280817.

The spelling of 2835896 in words is "two million, eight hundred thirty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 569 623 712 1138 1246 2276 2492 3983 4552 4984 7966 15932 31864 50641 101282 202564 354487 405128 708974 1417948 2835896