Search a number
-
+
4821073920 = 21432513503
BaseRepresentation
bin1000111110101101…
…11100000000000000
3110102222200221010100
410133112330000000
534333143331140
62114220202400
7230320311045
oct43726740000
913388627110
104821073920
112054409213
12b26699400
135baa72780
1433a4071cc
151d33b1530
hex11f5bc000

4821073920 has 360 divisors, whose sum is σ = 18033908256. Its totient is φ = 1184366592.

The previous prime is 4821073919. The next prime is 4821073937. The reversal of 4821073920 is 293701284.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9584389 + ... + 9584891.

Almost surely, 24821073920 is an apocalyptic number.

4821073920 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 4821073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016954128).

4821073920 is an abundant number, since it is smaller than the sum of its proper divisors (13212834336).

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

4821073920 is a wasteful number, since it uses less digits than its factorization.

4821073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4821073920 is about 69433.9536538141. The cubic root of 4821073920 is about 1689.3303977544.

The spelling of 4821073920 in words is "four billion, eight hundred twenty-one million, seventy-three thousand, nine hundred twenty".