Search a number
-
+
26441016 = 2337315077
BaseRepresentation
bin110010011011…
…1010100111000
31211202100020220
41210313110320
523232103031
62342420040
7440513340
oct144672470
954670226
1026441016
1113a1a588
128a31620
13562a094
143723d20
1524c4596
hex1937538

26441016 has 64 divisors (see below), whose sum is σ = 77998080. Its totient is φ = 7309440.

The previous prime is 26440969. The next prime is 26441017. The reversal of 26441016 is 61014462.

It is a super-2 number, since 2×264410162 = 1398254654224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26441017) 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, 2670 + ... + 7746.

It is an arithmetic number, because the mean of its divisors is an integer number (1218720).

Almost surely, 226441016 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 26441016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999040).

26441016 is an abundant number, since it is smaller than the sum of its proper divisors (51557064).

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

26441016 is a wasteful number, since it uses less digits than its factorization.

26441016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26441016 is about 5142.0828464738. The cubic root of 26441016 is about 297.9152349636.

Adding to 26441016 its reverse (61014462), we get a palindrome (87455478).

The spelling of 26441016 in words is "twenty-six million, four hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5077 5208 10154 15231 20308 30462 35539 40616 60924 71078 106617 121848 142156 157387 213234 284312 314774 426468 472161 629548 852936 944322 1101709 1259096 1888644 2203418 3305127 3777288 4406836 6610254 8813672 13220508 26441016