Search a number
-
+
4840863744 = 211329101269
BaseRepresentation
bin1001000001000100…
…11011100000000000
3110111100221100122210
410200202123200000
534403230114434
62120204302120
7230650443243
oct44042334000
913440840583
104840863744
1120645a5642
12b31241940
135c1bb1322
1433ccb925a
151d4ebeee9
hex12089b800

4840863744 has 192 divisors, whose sum is σ = 13533156000. Its totient is φ = 1536819200.

The previous prime is 4840863743. The next prime is 4840863749. The reversal of 4840863744 is 4473680484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4840863693 and 4840863702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4840863743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17995642 + ... + 17995910.

Almost surely, 24840863744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4840863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766578000).

4840863744 is an abundant number, since it is smaller than the sum of its proper divisors (8692292256).

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

4840863744 is a wasteful number, since it uses less digits than its factorization.

4840863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The square root of 4840863744 is about 69576.3159703070. The cubic root of 4840863744 is about 1691.6387293220.

The spelling of 4840863744 in words is "four billion, eight hundred forty million, eight hundred sixty-three thousand, seven hundred forty-four".