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4883883264 = 28321341297
BaseRepresentation
bin1001000110001101…
…00010010100000000
3110121100212222100100
410203012202110000
540000233231024
62124342322400
7232012215501
oct44306422400
913540788310
104883883264
112086908867
12b43729400
135caa94370
143448b6ba8
151d8b6b7c9
hex1231a2500

4883883264 has 324 divisors, whose sum is σ = 15703759708. Its totient is φ = 1450967040.

The previous prime is 4883883239. The next prime is 4883883299. The reversal of 4883883264 is 4623883884.

It can be written as a sum of positive squares in 6 ways, for example, as 2439569664 + 2444313600 = 49392^2 + 49440^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4883883264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50349264 + ... + 50349360.

Almost surely, 24883883264 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 4883883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851879854).

4883883264 is an abundant number, since it is smaller than the sum of its proper divisors (10819876444).

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

4883883264 is a wasteful number, since it uses less digits than its factorization.

4883883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 156 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 4883883264 is about 69884.7856403667. The cubic root of 4883883264 is about 1696.6350120031.

The spelling of 4883883264 in words is "four billion, eight hundred eighty-three million, eight hundred eighty-three thousand, two hundred sixty-four".