Search a number
-
+
26282032 = 24734789
BaseRepresentation
bin110010001000…
…0100000110000
31211110021011121
41210100200300
523212011112
62335152024
7436252000
oct144204060
954407147
1026282032
1113921097
128975614
1355a28ca
1436c2000
152492407
hex1910830

26282032 has 40 divisors (see below), whose sum is σ = 59396000. Its totient is φ = 11261376.

The previous prime is 26282027. The next prime is 26282041. The reversal of 26282032 is 23028262.

It is a junction number, because it is equal to n+sod(n) for n = 26281988 and 26282006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3094 + ... + 7882.

It is an arithmetic number, because the mean of its divisors is an integer number (1484900).

Almost surely, 226282032 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 26282032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698000).

26282032 is an abundant number, since it is smaller than the sum of its proper divisors (33113968).

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

26282032 is an equidigital number, since it uses as much as digits as its factorization.

26282032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 26282032 is about 5126.6004330355. The cubic root of 26282032 is about 297.3169346641.

The spelling of 26282032 in words is "twenty-six million, two hundred eighty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 4789 5488 9578 19156 33523 38312 67046 76624 134092 234661 268184 469322 536368 938644 1642627 1877288 3285254 3754576 6570508 13141016 26282032