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4048871424 = 213313192329
BaseRepresentation
bin1111000101010100…
…1110000000000000
3101110011122222102220
43301111032000000
531243002341144
61505433211040
7202222560603
oct36125160000
911404588386
104048871424
111798534034
1294bb60a80
134c6aa3210
142a5a3633a
1518a6ca919
hexf154e000

4048871424 has 448 divisors, whose sum is σ = 13211251200. Its totient is φ = 1089994752.

The previous prime is 4048871383. The next prime is 4048871461. The reversal of 4048871424 is 4241788404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139616242 + ... + 139616270.

It is an arithmetic number, because the mean of its divisors is an integer number (29489400).

Almost surely, 24048871424 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 4048871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605625600).

4048871424 is an abundant number, since it is smaller than the sum of its proper divisors (9162379776).

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

4048871424 is a wasteful number, since it uses less digits than its factorization.

4048871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The square root of 4048871424 is about 63630.7427585126. The cubic root of 4048871424 is about 1593.8397794069.

The spelling of 4048871424 in words is "four billion, forty-eight million, eight hundred seventy-one thousand, four hundred twenty-four".