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4821132960 = 253457192797
BaseRepresentation
bin1000111110101110…
…01010011010100000
3110102222210221010000
410133113022122200
534333202223320
62114221340000
7230320645140
oct43727123240
913388727100
104821132960
112054449606
12b26707600
135baa935c7
1433a420920
151d33c3c90
hex11f5ca6a0

4821132960 has 480 divisors, whose sum is σ = 20475987840. Its totient is φ = 1043601408.

The previous prime is 4821132947. The next prime is 4821132961. The reversal of 4821132960 is 692311284.

4821132960 is a `hidden beast` number, since 482 + 113 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4821132961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1722282 + ... + 1725078.

It is an arithmetic number, because the mean of its divisors is an integer number (42658308).

Almost surely, 24821132960 is an apocalyptic number.

4821132960 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 4821132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237993920).

4821132960 is an abundant number, since it is smaller than the sum of its proper divisors (15654854880).

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

4821132960 is a wasteful number, since it uses less digits than its factorization.

4821132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4821132960 is about 69434.3788047391. The cubic root of 4821132960 is about 1689.3372937047.

The spelling of 4821132960 in words is "four billion, eight hundred twenty-one million, one hundred thirty-two thousand, nine hundred sixty".