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27244064 = 251761821
BaseRepresentation
bin110011111101…
…1011000100000
31220021010211102
41213323120200
523433302224
62411533532
7450366521
oct147733040
956233742
1027244064
1114418961
12915a2a8
13584b763
143892848
1525d24ae
hex19fb620

27244064 has 48 divisors (see below), whose sum is σ = 57793176. Its totient is φ = 12595200.

The previous prime is 27244039. The next prime is 27244093. The reversal of 27244064 is 46044272.

It can be written as a sum of positive squares in 4 ways, for example, as 16875664 + 10368400 = 4108^2 + 3220^2 .

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, 32774 + ... + 33594.

Almost surely, 227244064 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 27244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28896588).

27244064 is an abundant number, since it is smaller than the sum of its proper divisors (30549112).

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

27244064 is a wasteful number, since it uses less digits than its factorization.

27244064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 27244064 is about 5219.5846578056. The cubic root of 27244064 is about 300.9012306408.

The spelling of 27244064 in words is "twenty-seven million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 244 272 488 544 821 976 1037 1642 1952 2074 3284 4148 6568 8296 13136 13957 16592 26272 27914 33184 50081 55828 100162 111656 200324 223312 400648 446624 801296 851377 1602592 1702754 3405508 6811016 13622032 27244064