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4048247808 = 21036111729
BaseRepresentation
bin1111000101001011…
…0101110000000000
3101110010111022000000
43301102311300000
531242322412213
61505412000000
7202214352513
oct36122656000
911403438000
104048247808
111798148550
1294b900000
134c6915407
142a5912d7a
1518a605c73
hexf14b5c00

4048247808 has 616 divisors, whose sum is σ = 14498164080. Its totient is φ = 1114767360.

The previous prime is 4048247807. The next prime is 4048247867. The reversal of 4048247808 is 8087428404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048247807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 139594738 + ... + 139594766.

Almost surely, 24048247808 is an apocalyptic number.

4048247808 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 4048247808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249082040).

4048247808 is an abundant number, since it is smaller than the sum of its proper divisors (10449916272).

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

4048247808 is a wasteful number, since it uses less digits than its factorization.

4048247808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4048247808 is about 63625.8422969787. The cubic root of 4048247808 is about 1593.7579463133.

The spelling of 4048247808 in words is "four billion, forty-eight million, two hundred forty-seven thousand, eight hundred eight".