Search a number
-
+
26128296 = 23321013593
BaseRepresentation
bin110001110101…
…0111110101000
31211011110021200
41203222332220
523142101141
62332004200
7435041535
oct143527650
954143250
1026128296
1113826637
128900660
13554a93c
143681d8c
152461ab6
hex18eafa8

26128296 has 48 divisors (see below), whose sum is σ = 71484660. Its totient is φ = 8620800.

The previous prime is 26128279. The next prime is 26128321. The reversal of 26128296 is 69282162.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25100100 + 1028196 = 5010^2 + 1014^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26128296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5476 + ... + 9068.

Almost surely, 226128296 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 26128296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742330).

26128296 is an abundant number, since it is smaller than the sum of its proper divisors (45356364).

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

26128296 is a wasteful number, since it uses less digits than its factorization.

26128296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3699 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 26128296 is about 5111.5844901557. The cubic root of 26128296 is about 296.7360849770.

The spelling of 26128296 in words is "twenty-six million, one hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3593 3636 7186 7272 10779 14372 21558 28744 32337 43116 64674 86232 129348 258696 362893 725786 1088679 1451572 2177358 2903144 3266037 4354716 6532074 8709432 13064148 26128296