Search a number
-
+
8398391040 = 28355133167
BaseRepresentation
bin1111101001001010…
…10100011100000000
3210200022001110200000
413310211110130000
5114144442003130
63505210400000
7415056101034
oct76445243400
923608043600
108398391040
11361a744546
121764730000
13a3ac40270
145995701c4
15342492260
hex1f4954700

8398391040 has 864 divisors, whose sum is σ = 33998555136. Its totient is φ = 1970749440.

The previous prime is 8398391021. The next prime is 8398391041. The reversal of 8398391040 is 401938938.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8398391041) 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, 125349087 + ... + 125349153.

Almost surely, 28398391040 is an apocalyptic number.

8398391040 is a gapful number since it is divisible by the number (80) 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 8398391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16999277568).

8398391040 is an abundant number, since it is smaller than the sum of its proper divisors (25600164096).

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

8398391040 is a wasteful number, since it uses less digits than its factorization.

8398391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8398391040 is about 91642.7358823382. The cubic root of 8398391040 is about 2032.6629163673.

The spelling of 8398391040 in words is "eight billion, three hundred ninety-eight million, three hundred ninety-one thousand, forty".