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27247968 = 2533114761
BaseRepresentation
bin110011111110…
…0010101100000
31220021100012000
41213330111200
523433413333
62412004000
7450414066
oct147742540
956240160
1027247968
1114420890
129160600
135850477
143894036
1525d3713
hex19fc560

27247968 has 192 divisors, whose sum is σ = 89994240. Its totient is φ = 7948800.

The previous prime is 27247967. The next prime is 27247981. The reversal of 27247968 is 86974272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27247967) 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 31 ways as a sum of consecutive naturals, for example, 446658 + ... + 446718.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 227247968 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 27247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

27247968 is an abundant number, since it is smaller than the sum of its proper divisors (62746272).

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

27247968 is a wasteful number, since it uses less digits than its factorization.

27247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27247968 is about 5219.9586205256. The cubic root of 27247968 is about 300.9156027293.

The spelling of 27247968 in words is "twenty-seven million, two hundred forty-seven thousand, nine hundred sixty-eight".