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2398993632 = 25337795021
BaseRepresentation
bin1000111011111101…
…1011110011100000
320012012010111121000
42032333123303200
514403120244012
61034014432000
7113310052350
oct21677336340
96165114530
102398993632
111021195472
1256b502600
132c3025879
1418a87ab60
15e0927ddc
hex8efdbce0

2398993632 has 192 divisors, whose sum is σ = 8099481600. Its totient is φ = 676615680.

The previous prime is 2398993627. The next prime is 2398993657. The reversal of 2398993632 is 2363998932.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475282 + ... + 480302.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 22398993632 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 2398993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2398993632 is an abundant number, since it is smaller than the sum of its proper divisors (5700487968).

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

2398993632 is a wasteful number, since it uses less digits than its factorization.

2398993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5112 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 2398993632 is about 48979.5225783184. The cubic root of 2398993632 is about 1338.6787362516.

The spelling of 2398993632 in words is "two billion, three hundred ninety-eight million, nine hundred ninety-three thousand, six hundred thirty-two".