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2089856 = 2729563
BaseRepresentation
bin111111110001110000000
310221011202002
413332032000
51013333411
6112443132
723522606
oct7761600
93834662
102089856
1111a815a
128494a8
13582302
143c5876
152b433b
hex1fe380

2089856 has 32 divisors (see below), whose sum is σ = 4314600. Its totient is φ = 1007104.

The previous prime is 2089853. The next prime is 2089859. The reversal of 2089856 is 6589802.

It is an interprime number because it is at equal distance from previous prime (2089853) and next prime (2089859).

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089853) 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 3 ways as a sum of consecutive naturals, for example, 3431 + ... + 3993.

22089856 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 2089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157300).

2089856 is an abundant number, since it is smaller than the sum of its proper divisors (2224744).

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

2089856 is an equidigital number, since it uses as much as digits as its factorization.

2089856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2089856 is about 1445.6334251808. The cubic root of 2089856 is about 127.8513900283.

The spelling of 2089856 in words is "two million, eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 563 928 1126 1856 2252 3712 4504 9008 16327 18016 32654 36032 65308 72064 130616 261232 522464 1044928 2089856