Search a number
-
+
26235424 = 253153499
BaseRepresentation
bin110010000010…
…1001000100000
31211100220020101
41210011020200
523204013144
62334152144
7435666055
oct144051040
954326211
1026235424
111389a076
128952654
135587627
1436ad02c
1524836d4
hex1905220

26235424 has 48 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 12430080.

The previous prime is 26235421. The next prime is 26235427. The reversal of 26235424 is 42453262.

It is an interprime number because it is at equal distance from previous prime (26235421) and next prime (26235427).

It is a junction number, because it is equal to n+sod(n) for n = 26235392 and 26235401.

It is not an unprimeable number, because it can be changed into a prime (26235421) by changing a digit.

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, 52327 + ... + 52825.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 226235424 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 26235424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

26235424 is an abundant number, since it is smaller than the sum of its proper divisors (28196576).

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

26235424 is a wasteful number, since it uses less digits than its factorization.

26235424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 26235424 is about 5122.0527135124. The cubic root of 26235424 is about 297.1410788144.

Adding to 26235424 its reverse (42453262), we get a palindrome (68688686).

The spelling of 26235424 in words is "twenty-six million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 424 496 499 848 992 998 1643 1696 1996 3286 3992 6572 7984 13144 15469 15968 26288 26447 30938 52576 52894 61876 105788 123752 211576 247504 423152 495008 819857 846304 1639714 3279428 6558856 13117712 26235424