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4283797248 = 283231371621
BaseRepresentation
bin1111111101010101…
…1000111100000000
3102001112201110002100
43333111120330000
532233123002443
61545024350400
7211104450543
oct37725307400
912045643070
104283797248
1118a9101305
129b6775400
13533668593
142c8d0a85a
151a11333d3
hexff558f00

4283797248 has 216 divisors, whose sum is σ = 13102334336. Its totient is φ = 1343692800.

The previous prime is 4283797229. The next prime is 4283797261. The reversal of 4283797248 is 8427973824.

It is a happy number.

4283797248 is a `hidden beast` number, since 4 + 28 + 379 + 7 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4283797194 and 4283797203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641878 + ... + 2643498.

Almost surely, 24283797248 is an apocalyptic number.

4283797248 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 4283797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551167168).

4283797248 is an abundant number, since it is smaller than the sum of its proper divisors (8818537088).

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

4283797248 is a wasteful number, since it uses less digits than its factorization.

4283797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1694 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4283797248 is about 65450.7238157073. The cubic root of 4283797248 is about 1624.0882930634.

The spelling of 4283797248 in words is "four billion, two hundred eighty-three million, seven hundred ninety-seven thousand, two hundred forty-eight".