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26848052 = 22711611429
BaseRepresentation
bin110011001101…
…0101100110100
31212112000121022
41212122230310
523333114202
62355240312
7444130130
oct146325464
955460538
1026848052
1114178380
128ba9098
13574042a
1437cc3c0
152554ea2
hex199ab34

26848052 has 48 divisors (see below), whose sum is σ = 59579520. Its totient is φ = 10281600.

The previous prime is 26848033. The next prime is 26848067. The reversal of 26848052 is 25084862.

26848052 is a modest number, since divided by 8052 gives 2684 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 18074 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 226848052 is an apocalyptic number.

26848052 is a gapful number since it is divisible by the number (22) 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 26848052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760).

26848052 is an abundant number, since it is smaller than the sum of its proper divisors (32731468).

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

26848052 is a wasteful number, since it uses less digits than its factorization.

26848052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 26848052 is about 5181.5105905518. The cubic root of 26848052 is about 299.4361706149.

The spelling of 26848052 in words is "twenty-six million, eight hundred forty-eight thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1429 1708 2684 2858 4697 5716 9394 10003 15719 18788 20006 31438 40012 62876 87169 110033 174338 220066 348676 440132 610183 958859 1220366 1917718 2440732 3835436 6712013 13424026 26848052