Search a number
-
+
5803819840 = 265713241827
BaseRepresentation
bin1010110011110111…
…10100001101000000
3112222110220121002101
411121323310031000
543341234213330
62355524000144
7263552440360
oct53173641500
915873817071
105803819840
112509117825
12115b830054
1371654b330
143d0b429a0
1523e7d54ca
hex159ef4340

5803819840 has 224 divisors, whose sum is σ = 17100889344. Its totient is φ = 1826979840.

The previous prime is 5803819831. The next prime is 5803819897. The reversal of 5803819840 is 489183085.

It is a tau number, because it is divible by the number of its divisors (224).

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, 7017507 + ... + 7018333.

It is an arithmetic number, because the mean of its divisors is an integer number (76343256).

Almost surely, 25803819840 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 5803819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550444672).

5803819840 is an abundant number, since it is smaller than the sum of its proper divisors (11297069504).

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

5803819840 is a wasteful number, since it uses less digits than its factorization.

5803819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 5803819840 is about 76182.8054090948. The cubic root of 5803819840 is about 1797.0961243849.

The spelling of 5803819840 in words is "five billion, eight hundred three million, eight hundred nineteen thousand, eight hundred forty".