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27214992 = 2432731929
BaseRepresentation
bin110011111010…
…0010010010000
31220012122221200
41213310102100
523431334432
62411151200
7450216000
oct147642220
956178850
1027214992
11143a9032
129145500
13583b45c
143886000
1525c8a7c
hex19f4490

27214992 has 240 divisors, whose sum is σ = 96720000. Its totient is φ = 7112448.

The previous prime is 27214987. The next prime is 27214997. The reversal of 27214992 is 29941272.

It is an interprime number because it is at equal distance from previous prime (27214987) and next prime (27214997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27214997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938434 + ... + 938462.

It is an arithmetic number, because the mean of its divisors is an integer number (403000).

Almost surely, 227214992 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 27214992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360000).

27214992 is an abundant number, since it is smaller than the sum of its proper divisors (69505008).

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

27214992 is a wasteful number, since it uses less digits than its factorization.

27214992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27214992 is about 5216.7990185553. The cubic root of 27214992 is about 300.7941624980.

The spelling of 27214992 in words is "twenty-seven million, two hundred fourteen thousand, nine hundred ninety-two".