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5798491920 = 2434513174049
BaseRepresentation
bin1010110011001110…
…11111011100010000
3112222002212220120000
411121213133130100
543333403220140
62355213450000
7263456240154
oct53147373420
915862786500
105798491920
112506108891
121159aa0900
13715404210
143d0157064
1523e0d1a30
hex1599df710

5798491920 has 400 divisors, whose sum is σ = 22969623600. Its totient is φ = 1343029248.

The previous prime is 5798491847. The next prime is 5798491931. The reversal of 5798491920 is 291948975.

5798491920 is a `hidden beast` number, since 579 + 8 + 49 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 362673936 + 5435817984 = 19044^2 + 73728^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1430056 + ... + 1434104.

It is an arithmetic number, because the mean of its divisors is an integer number (57424059).

Almost surely, 25798491920 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 5798491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484811800).

5798491920 is an abundant number, since it is smaller than the sum of its proper divisors (17171131680).

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

5798491920 is a wasteful number, since it uses less digits than its factorization.

5798491920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 5798491920 is about 76147.8293846909. The cubic root of 5798491920 is about 1796.5460432296.

The spelling of 5798491920 in words is "five billion, seven hundred ninety-eight million, four hundred ninety-one thousand, nine hundred twenty".