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2536096 = 25411933
BaseRepresentation
bin1001101011001010100000
311202211212111
421223022200
51122123341
6130205104
730361603
oct11531240
94684774
102536096
111482452
12a23794
136aa464
144a033a
15351681
hex26b2a0

2536096 has 24 divisors (see below), whose sum is σ = 5117364. Its totient is φ = 1236480.

The previous prime is 2536087. The next prime is 2536099. The reversal of 2536096 is 6906352.

It can be written as a sum of positive squares in 2 ways, for example, as 2446096 + 90000 = 1564^2 + 300^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2536099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346 + ... + 2278.

22536096 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 2536096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558682).

2536096 is an abundant number, since it is smaller than the sum of its proper divisors (2581268).

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

2536096 is a wasteful number, since it uses less digits than its factorization.

2536096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 2536096 is about 1592.5124803279. The cubic root of 2536096 is about 136.3709595528.

The spelling of 2536096 in words is "two million, five hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1933 3866 7732 15464 30928 61856 79253 158506 317012 634024 1268048 2536096