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4890394080 = 253251121317127
BaseRepresentation
bin1001000110111110…
…10111110111100000
3110121211010202111200
410203133113313200
540003420102310
62125134041200
7232121443455
oct44337276740
913554122450
104890394080
11208a555500
12b45949200
135cc233a10
143456cd82c
151d95059c0
hex1237d7de0

4890394080 has 864 divisors, whose sum is σ = 21081295872. Its totient is φ = 1021870080.

The previous prime is 4890394079. The next prime is 4890394087. The reversal of 4890394080 is 804930984.

It is a happy number.

4890394080 is a `hidden beast` number, since 489 + 0 + 3 + 94 + 0 + 80 = 666.

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 (4890394087) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 38506977 + ... + 38507103.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 24890394080 is an apocalyptic number.

4890394080 is a gapful number since it is divisible by the number (40) 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 4890394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540647936).

4890394080 is an abundant number, since it is smaller than the sum of its proper divisors (16190901792).

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

4890394080 is a wasteful number, since it uses less digits than its factorization.

4890394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4890394080 is about 69931.3526252710. The cubic root of 4890394080 is about 1697.3886181431.

The spelling of 4890394080 in words is "four billion, eight hundred ninety million, three hundred ninety-four thousand, eighty".