Search a number
-
+
5809284096 = 210371141599
BaseRepresentation
bin1010110100100001…
…01010010000000000
3112222212012012122020
411122100222100000
543344134042341
62400241041440
7263650046220
oct53220522000
915885165566
105809284096
11251120a140
121161626280
13717712515
143d1766080
15240014566
hex15a42a400

5809284096 has 352 divisors, whose sum is σ = 19808409600. Its totient is φ = 1469644800.

The previous prime is 5809284073. The next prime is 5809284101. The reversal of 5809284096 is 6904829085.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9698005 + ... + 9698603.

Almost surely, 25809284096 is an apocalyptic number.

5809284096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904204800).

5809284096 is an abundant number, since it is smaller than the sum of its proper divisors (13999125504).

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

5809284096 is a wasteful number, since it uses less digits than its factorization.

5809284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 5809284096 is about 76218.6597625542. The cubic root of 5809284096 is about 1797.6599319810.

The spelling of 5809284096 in words is "five billion, eight hundred nine million, two hundred eighty-four thousand, ninety-six".