Search a number
-
+
5389839360 = 210335127307
BaseRepresentation
bin1010000010100001…
…00110110000000000
3111220121221012122000
411001100212300000
542014244324420
62250454544000
7250364610243
oct50120466000
914817835560
105389839360
1123164730a4
121065068000
1367b853479
14391b7d25a
152182ae690
hex141426c00

5389839360 has 352 divisors, whose sum is σ = 19368222720. Its totient is φ = 1421328384.

The previous prime is 5389839347. The next prime is 5389839379. The reversal of 5389839360 is 639389835.

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 junction number, because it is equal to n+sod(n) for n = 5389839297 and 5389839306.

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, 17556327 + ... + 17556633.

It is an arithmetic number, because the mean of its divisors is an integer number (55023360).

Almost surely, 25389839360 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 5389839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684111360).

5389839360 is an abundant number, since it is smaller than the sum of its proper divisors (13978383360).

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

5389839360 is a wasteful number, since it uses less digits than its factorization.

5389839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 5389839360 is about 73415.5253335424. The cubic root of 5389839360 is about 1753.3095857004.

The spelling of 5389839360 in words is "five billion, three hundred eighty-nine million, eight hundred thirty-nine thousand, three hundred sixty".