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2536268 = 227239379
BaseRepresentation
bin1001101011001101001100
311202212002212
421223031030
51122130033
6130205552
730362240
oct11531514
94685085
102536268
111482599
12a238b8
136aa567
144a0420
15351748
hex26b34c

2536268 has 24 divisors (see below), whose sum is σ = 5107200. Its totient is φ = 1079568.

The previous prime is 2536267. The next prime is 2536273. The reversal of 2536268 is 8626352.

2536268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 220 + 58 + 33 + 64 + 220 + 66 + 83 .

It is not an unprimeable number, because it can be changed into a prime (2536267) 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 7 ways as a sum of consecutive naturals, for example, 6503 + ... + 6881.

It is an arithmetic number, because the mean of its divisors is an integer number (212800).

22536268 is an apocalyptic number.

2536268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2536268 is an abundant number, since it is smaller than the sum of its proper divisors (2570932).

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

2536268 is a wasteful number, since it uses less digits than its factorization.

2536268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2536268 is about 1592.5664821288. The cubic root of 2536268 is about 136.3740424113.

The spelling of 2536268 in words is "two million, five hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 239 379 478 758 956 1516 1673 2653 3346 5306 6692 10612 90581 181162 362324 634067 1268134 2536268