Search a number
-
+
4825050048 = 263271327397
BaseRepresentation
bin1000111111001100…
…00110101111000000
3110110021011221100100
410133212012233000
534340203100143
62114441322400
7230366151210
oct43746065700
913407157310
104825050048
112056684575
12b27a96400
135bb835500
1433ab60240
151d38e96d3
hex11f986bc0

4825050048 has 504 divisors, whose sum is σ = 17528548128. Its totient is φ = 1242169344.

The previous prime is 4825050047. The next prime is 4825050049. The reversal of 4825050048 is 8400505284.

It is an interprime number because it is at equal distance from previous prime (4825050047) and next prime (4825050049).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×48250500483 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 4825049994 and 4825050021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4825050047) 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, 49742736 + ... + 49742832.

Almost surely, 24825050048 is an apocalyptic number.

4825050048 is a gapful number since it is divisible by the number (48) 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 4825050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8764274064).

4825050048 is an abundant number, since it is smaller than the sum of its proper divisors (12703498080).

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

4825050048 is a wasteful number, since it uses less digits than its factorization.

4825050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4825050048 is about 69462.5801997018. The cubic root of 4825050048 is about 1689.7946890626.

The spelling of 4825050048 in words is "four billion, eight hundred twenty-five million, fifty thousand, forty-eight".