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2387097216 = 27347311061
BaseRepresentation
bin1000111001001000…
…0011011010000000
320011100202002210000
42032102003122000
514342044102331
61032511440000
7113103664050
oct21622033200
96140662700
102387097216
1110154aa519
12567526000
132c071ba7a
14189061560
15de8780e6
hex8e483680

2387097216 has 320 divisors, whose sum is σ = 8388610560. Its totient is φ = 659404800.

The previous prime is 2387097173. The next prime is 2387097233. The reversal of 2387097216 is 6127907832.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2249326 + ... + 2250386.

It is an arithmetic number, because the mean of its divisors is an integer number (26214408).

Almost surely, 22387097216 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 2387097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194305280).

2387097216 is an abundant number, since it is smaller than the sum of its proper divisors (6001513344).

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

2387097216 is a wasteful number, since it uses less digits than its factorization.

2387097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2387097216 is about 48857.9288959325. The cubic root of 2387097216 is about 1336.4622684689.

The spelling of 2387097216 in words is "two billion, three hundred eighty-seven million, ninety-seven thousand, two hundred sixteen".