Search a number
-
+
26460432 = 2434171201
BaseRepresentation
bin110010011110…
…0000100010000
31211210022220000
41210330010100
523233213212
62343050000
7440624055
oct144740420
954708800
1026460432
1113a33129
128a40900
135635b7b
14372b02c
1524ca1dc
hex193c110

26460432 has 100 divisors (see below), whose sum is σ = 81156636. Its totient is φ = 8294400.

The previous prime is 26460431. The next prime is 26460451. The reversal of 26460432 is 23406462.

26460432 is a `hidden beast` number, since 26 + 4 + 604 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 18974736 = 2736^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26460396 and 26460405.

It is not an unprimeable number, because it can be changed into a prime (26460431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21432 + ... + 22632.

Almost surely, 226460432 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 26460432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40578318).

26460432 is an abundant number, since it is smaller than the sum of its proper divisors (54696204).

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

26460432 is a wasteful number, since it uses less digits than its factorization.

26460432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26460432 is about 5143.9704509260. The cubic root of 26460432 is about 297.9881382003.

Adding to 26460432 its reverse (23406462), we get a palindrome (49866894).

The spelling of 26460432 in words is "twenty-six million, four hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1201 1224 1296 1377 1836 2402 2448 2754 3603 3672 4804 5508 7206 7344 9608 10809 11016 14412 19216 20417 21618 22032 28824 32427 40834 43236 57648 61251 64854 81668 86472 97281 122502 129708 163336 172944 183753 194562 245004 259416 326672 367506 389124 490008 518832 551259 735012 778248 980016 1102518 1470024 1556496 1653777 2205036 2940048 3307554 4410072 6615108 8820144 13230216 26460432