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26946416 = 247475119
BaseRepresentation
bin110011011001…
…0101101110000
31212201000112102
41212302231300
523344241131
62401315532
7445016660
oct146625560
955630472
1026946416
1114235272
129035ba8
135776133
1438161a0
1525741cb
hex19b2b70

26946416 has 40 divisors (see below), whose sum is σ = 60948480. Its totient is φ = 11300544.

The previous prime is 26946383. The next prime is 26946443. The reversal of 26946416 is 61464962.

It is a happy number.

It is a super-2 number, since 2×269464162 = 1452218670490112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26946416.

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 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 7823.

It is an arithmetic number, because the mean of its divisors is an integer number (1523712).

Almost surely, 226946416 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 26946416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474240).

26946416 is an abundant number, since it is smaller than the sum of its proper divisors (34002064).

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

26946416 is a wasteful number, since it uses less digits than its factorization.

26946416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5175 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 26946416 is about 5190.9937391602. The cubic root of 26946416 is about 299.8014093089.

The spelling of 26946416 in words is "twenty-six million, nine hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5119 5264 10238 20476 35833 40952 71666 81904 143332 240593 286664 481186 573328 962372 1684151 1924744 3368302 3849488 6736604 13473208 26946416