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2039998800 = 2435272310559
BaseRepresentation
bin111100110010111…
…1110100101010000
312021011121200021010
41321211332211100
513134214430200
6534232130520
7101360463240
oct17145764520
95234550233
102039998800
11957587324
1248b236a40
132668404a8
14154d0bb20
15be164150
hex7997e950

2039998800 has 240 divisors, whose sum is σ = 7793786880. Its totient is φ = 445969920.

The previous prime is 2039998789. The next prime is 2039998801. The reversal of 2039998800 is 88999302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2039998800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039998801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187921 + ... + 198479.

It is an arithmetic number, because the mean of its divisors is an integer number (32474112).

Almost surely, 22039998800 is an apocalyptic number.

2039998800 is a gapful number since it is divisible by the number (20) 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 2039998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896893440).

2039998800 is an abundant number, since it is smaller than the sum of its proper divisors (5753788080).

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

2039998800 is a wasteful number, since it uses less digits than its factorization.

2039998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 2039998800 is about 45166.3458783196. The cubic root of 2039998800 is about 1268.2648923975.

The spelling of 2039998800 in words is "two billion, thirty-nine million, nine hundred ninety-eight thousand, eight hundred".