Search a number
-
+
26504632 = 23711172531
BaseRepresentation
bin110010100011…
…0110110111000
31211212120112001
41211012312320
523241122012
62344030344
7441166660
oct145066670
954776461
1026504632
1113a63360
128a623b4
13565001b
14373d1a0
1524d8357
hex1946db8

26504632 has 64 divisors (see below), whose sum is σ = 65629440. Its totient is φ = 9715200.

The previous prime is 26504627. The next prime is 26504633. The reversal of 26504632 is 23640562.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 26504632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26504633) 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 15 ways as a sum of consecutive naturals, for example, 9207 + ... + 11737.

It is an arithmetic number, because the mean of its divisors is an integer number (1025460).

Almost surely, 226504632 is an apocalyptic number.

26504632 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 26504632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32814720).

26504632 is an abundant number, since it is smaller than the sum of its proper divisors (39124808).

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

26504632 is a wasteful number, since it uses less digits than its factorization.

26504632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 26504632 is about 5148.2649504469. The cubic root of 26504632 is about 298.1539675509.

The spelling of 26504632 in words is "twenty-six million, five hundred four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2531 2618 5062 5236 10124 10472 17717 20248 27841 35434 43027 55682 70868 86054 111364 141736 172108 194887 222728 301189 344216 389774 473297 602378 779548 946594 1204756 1559096 1893188 2409512 3313079 3786376 6626158 13252316 26504632