Search a number
-
+
4879082880 = 273257259293
BaseRepresentation
bin1001000101101000…
…01110010110000000
3110121000212002110100
410202310032112000
534443021123010
62124051402400
7231623343300
oct44264162600
913530762410
104879082880
11208412a201
12b41bb3400
135c9aa33b9
14343dc7600
151d851e2c0
hex122d0e580

4879082880 has 576 divisors, whose sum is σ = 19998997200. Its totient is φ = 1092575232.

The previous prime is 4879082869. The next prime is 4879082881. The reversal of 4879082880 is 882809784.

4879082880 is a `hidden beast` number, since 487 + 9 + 0 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879082881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16652014 + ... + 16652306.

Almost surely, 24879082880 is an apocalyptic number.

4879082880 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 4879082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999498600).

4879082880 is an abundant number, since it is smaller than the sum of its proper divisors (15119914320).

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

4879082880 is a wasteful number, since it uses less digits than its factorization.

4879082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 4879082880 is about 69850.4322105454. The cubic root of 4879082880 is about 1696.0789538419.

The spelling of 4879082880 in words is "four billion, eight hundred seventy-nine million, eighty-two thousand, eight hundred eighty".