Search a number
-
+
5329998000 = 2432533753151
BaseRepresentation
bin1001111011011000…
…10101000010110000
3111202110022221201100
410331230111002300
541403434414000
62240520204400
7246040143525
oct47554250260
914673287640
105329998000
112295710428
121049009700
1366c330792
14387c4314c
15212ddda00
hex13db150b0

5329998000 has 480 divisors, whose sum is σ = 19608780672. Its totient is φ = 1347840000.

The previous prime is 5329997977. The next prime is 5329998007. The reversal of 5329998000 is 8999235.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5329998007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35297925 + ... + 35298075.

Almost surely, 25329998000 is an apocalyptic number.

5329998000 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 5329998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804390336).

5329998000 is an abundant number, since it is smaller than the sum of its proper divisors (14278782672).

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

5329998000 is a wasteful number, since it uses less digits than its factorization.

5329998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5329998000 is about 73006.8352964296. The cubic root of 5329998000 is about 1746.7966432681.

The spelling of 5329998000 in words is "five billion, three hundred twenty-nine million, nine hundred ninety-eight thousand".