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5826531648 = 263741432459
BaseRepresentation
bin1010110110100100…
…11101000101000000
3120001001122110211110
411123102131011000
543413043003043
62402054443320
7264246462510
oct53322350500
916031573743
105826531648
11251aa1a513
121167363540
1371b170b82
143d3b75840
152417beb33
hex15b49d140

5826531648 has 224 divisors, whose sum is σ = 18475269120. Its totient is φ = 1585704960.

The previous prime is 5826531647. The next prime is 5826531679. The reversal of 5826531648 is 8461356285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 5826531597 and 5826531606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5826531643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368243 + ... + 2370701.

It is an arithmetic number, because the mean of its divisors is an integer number (82478880).

Almost surely, 25826531648 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 5826531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237634560).

5826531648 is an abundant number, since it is smaller than the sum of its proper divisors (12648737472).

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

5826531648 is a wasteful number, since it uses less digits than its factorization.

5826531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 5826531648 is about 76331.7211125231. The cubic root of 5826531648 is about 1799.4372364180.

The spelling of 5826531648 in words is "five billion, eight hundred twenty-six million, five hundred thirty-one thousand, six hundred forty-eight".