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4830503040 = 273451143197
BaseRepresentation
bin1000111111110101…
…11010000010000000
3110110122102222110000
410133322322002000
534343102044130
62115154240000
7230463412146
oct43772720200
913418388400
104830503040
112059769480
12b29886000
135bc9c452c
1433b77d596
151d4125260
hex11feba080

4830503040 has 640 divisors, whose sum is σ = 19354230720. Its totient is φ = 1137991680.

The previous prime is 4830503017. The next prime is 4830503071. The reversal of 4830503040 is 403050384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4830502995 and 4830503013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24520222 + ... + 24520418.

Almost surely, 24830503040 is an apocalyptic number.

4830503040 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 4830503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677115360).

4830503040 is an abundant number, since it is smaller than the sum of its proper divisors (14523727680).

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

4830503040 is a wasteful number, since it uses less digits than its factorization.

4830503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4830503040 is about 69501.8204078138. The cubic root of 4830503040 is about 1690.4310187586.

The spelling of 4830503040 in words is "four billion, eight hundred thirty million, five hundred three thousand, forty".