Search a number
-
+
26040432 = 24311149331
BaseRepresentation
bin110001101010…
…1100001110000
31210222222202110
41203111201300
523131243212
62330045320
7434224425
oct143254160
953888673
1026040432
1113776620
128879840
135519952
14365bd4c
152445a3c
hex18d5870

26040432 has 80 divisors (see below), whose sum is σ = 74102400. Its totient is φ = 7814400.

The previous prime is 26040407. The next prime is 26040433. The reversal of 26040432 is 23404062.

It is a junction number, because it is equal to n+sod(n) for n = 26040399 and 26040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26040433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78507 + ... + 78837.

It is an arithmetic number, because the mean of its divisors is an integer number (926280).

Almost surely, 226040432 is an apocalyptic number.

26040432 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 26040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051200).

26040432 is an abundant number, since it is smaller than the sum of its proper divisors (48061968).

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

26040432 is a wasteful number, since it uses less digits than its factorization.

26040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 26040432 is about 5102.9826572310. The cubic root of 26040432 is about 296.4030909507.

Adding to 26040432 its reverse (23404062), we get a palindrome (49444494).

The spelling of 26040432 in words is "twenty-six million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 331 447 528 596 662 894 993 1192 1324 1639 1788 1986 2384 2648 3278 3576 3641 3972 4917 5296 6556 7152 7282 7944 9834 10923 13112 14564 15888 19668 21846 26224 29128 39336 43692 49319 58256 78672 87384 98638 147957 174768 197276 295914 394552 542509 591828 789104 1085018 1183656 1627527 2170036 2367312 3255054 4340072 6510108 8680144 13020216 26040432