Search a number
-
+
5598384000 = 273531123461
BaseRepresentation
bin1010011011011000…
…01000111110000000
3112110011100101002120
411031230020332000
542431141242000
62323304444240
7255506323146
oct51554107600
915404311076
105598384000
112413161840
121102a79680
136b2b0ca71
143b1747596
1522b7556a0
hex14db08f80

5598384000 has 512 divisors, whose sum is σ = 21171870720. Its totient is φ = 1295360000.

The previous prime is 5598383993. The next prime is 5598384047. The reversal of 5598384000 is 4838955.

It is a super-2 number, since 2×55983840002 = 62683806822912000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12143770 + ... + 12144230.

It is an arithmetic number, because the mean of its divisors is an integer number (41351310).

Almost surely, 25598384000 is an apocalyptic number.

5598384000 is a gapful number since it is divisible by the number (50) 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 5598384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10585935360).

5598384000 is an abundant number, since it is smaller than the sum of its proper divisors (15573486720).

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

5598384000 is a wasteful number, since it uses less digits than its factorization.

5598384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5598384000 is about 74822.3496022412. The cubic root of 5598384000 is about 1775.6371712342.

The spelling of 5598384000 in words is "five billion, five hundred ninety-eight million, three hundred eighty-four thousand".