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26643006 = 235134217
BaseRepresentation
bin110010110100…
…0101000111110
31212010121100000
41211220220332
523310034011
62351015130
7442314255
oct145505076
955117300
1026643006
1114048315
128b0a4a6
13569acc0
14377779c
152514356
hex1968a3e

26643006 has 48 divisors (see below), whose sum is σ = 64484784. Its totient is φ = 8195904.

The previous prime is 26642983. The next prime is 26643037. The reversal of 26643006 is 60034662.

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

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4210 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 226643006 is an apocalyptic number.

26643006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26643006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32242392).

26643006 is an abundant number, since it is smaller than the sum of its proper divisors (37841778).

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

26643006 is a wasteful number, since it uses less digits than its factorization.

26643006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26643006 is about 5161.6863523465. The cubic root of 26643006 is about 298.6719294375.

Adding to 26643006 its reverse (60034662), we get a palindrome (86677668).

The spelling of 26643006 in words is "twenty-six million, six hundred forty-three thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 4217 6318 8434 12651 25302 37953 54821 75906 109642 113859 164463 227718 328926 341577 493389 683154 986778 1024731 1480167 2049462 2960334 4440501 8881002 13321503 26643006