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2536828 = 2273432
BaseRepresentation
bin1001101011010101111100
311202212212121
421223111330
51122134303
6130212324
730364000
oct11532574
94685777
102536828
111482a58
12a240a4
136aa8a8
144a0700
153519bd
hex26b57c

2536828 has 36 divisors (see below), whose sum is σ = 5300400. Its totient is φ = 1061928.

The previous prime is 2536819. The next prime is 2536837. The reversal of 2536828 is 8286352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2536819) and next prime (2536837).

It is a d-powerful number, because it can be written as 28 + 58 + 33 + 66 + 82 + 211 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 2536793 and 2536802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58975 + ... + 59017.

22536828 is an apocalyptic number.

2536828 is a gapful number since it is divisible by the number (28) 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 2536828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650200).

2536828 is an abundant number, since it is smaller than the sum of its proper divisors (2763572).

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

2536828 is an equidigital number, since it uses as much as digits as its factorization.

2536828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 52 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2536828 is about 1592.7422892609. The cubic root of 2536828 is about 136.3840786592.

It can be divided in two parts, 2536 and 828, that added together give a square (3364 = 582).

The spelling of 2536828 in words is "two million, five hundred thirty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 343 602 686 1204 1372 1849 2107 3698 4214 7396 8428 12943 14749 25886 29498 51772 58996 90601 181202 362404 634207 1268414 2536828