Search a number
-
+
26005050 = 234526421
BaseRepresentation
bin110001100110…
…0111000111010
31210221012020000
41203030320322
523124130200
62325213430
7434016321
oct143147072
953835200
1026005050
1113751a85
128861276
135506806
14364d0b8
15243a300
hex18cce3a

26005050 has 60 divisors (see below), whose sum is σ = 72266766. Its totient is φ = 6933600.

The previous prime is 26005027. The next prime is 26005051. The reversal of 26005050 is 5050062.

It can be written as a sum of positive squares in 3 ways, for example, as 16475481 + 9529569 = 4059^2 + 3087^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

26005050 is a modest number, since divided by 5050 gives 2600 as remainder.

It is not an unprimeable number, because it can be changed into a prime (26005051) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 840 + ... + 7260.

Almost surely, 226005050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26005050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36133383).

26005050 is an abundant number, since it is smaller than the sum of its proper divisors (46261716).

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

26005050 is a wasteful number, since it uses less digits than its factorization.

26005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 26005050 is about 5099.5146827909. The cubic root of 26005050 is about 296.2687858621.

It can be divided in two parts, 260050 and 50, that added together give a square (260100 = 5102).

The spelling of 26005050 in words is "twenty-six million, five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 6421 12842 19263 32105 38526 57789 64210 96315 115578 160525 173367 192630 288945 321050 346734 481575 520101 577890 866835 963150 1040202 1444725 1733670 2600505 2889450 4334175 5201010 8668350 13002525 26005050