Search a number
-
+
4886830080 = 2103251131311
BaseRepresentation
bin1001000110100011…
…10001110000000000
3110121120102200121200
410203101301300000
540002012030310
62124525421200
7232046241006
oct44321616000
913546380550
104886830080
112088540850
12b4470a800
135cb586742
14345042a76
151d904e9c0
hex123471c00

4886830080 has 528 divisors, whose sum is σ = 19129264128. Its totient is φ = 1142784000.

The previous prime is 4886830009. The next prime is 4886830087. The reversal of 4886830080 is 800386884.

4886830080 is a `hidden beast` number, since 488 + 68 + 30 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×48868300802 = 47762216461585612800, which contains 22 as substring.

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 (4886830087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713125 + ... + 15713435.

Almost surely, 24886830080 is an apocalyptic number.

4886830080 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 4886830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564632064).

4886830080 is an abundant number, since it is smaller than the sum of its proper divisors (14242434048).

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

4886830080 is a wasteful number, since it uses less digits than its factorization.

4886830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4886830080 is about 69905.8658482963. The cubic root of 4886830080 is about 1696.9761794516.

The spelling of 4886830080 in words is "four billion, eight hundred eighty-six million, eight hundred thirty thousand, eighty".