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4822266240 = 273251131737
BaseRepresentation
bin1000111110110110…
…11111000110000000
3110110001221111200100
410133123133012000
534334000004430
62114301522400
7230333405151
oct43733370600
913401844610
104822266240
112055053000
12b26b73400
135bb09c39c
1433a637928
151d3549960
hex11f6df180

4822266240 has 768 divisors, whose sum is σ = 19917368640. Its totient is φ = 1070530560.

The previous prime is 4822266233. The next prime is 4822266271. The reversal of 4822266240 is 426622284.

4822266240 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 26 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4822266195 and 4822266204.

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 95 ways as a sum of consecutive naturals, for example, 130331502 + ... + 130331538.

Almost surely, 24822266240 is an apocalyptic number.

4822266240 is a gapful number since it is divisible by the number (40) 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 4822266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958684320).

4822266240 is an abundant number, since it is smaller than the sum of its proper divisors (15095102400).

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

4822266240 is a wasteful number, since it uses less digits than its factorization.

4822266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4822266240 is about 69442.5391240845. The cubic root of 4822266240 is about 1689.4696514025.

The spelling of 4822266240 in words is "four billion, eight hundred twenty-two million, two hundred sixty-six thousand, two hundred forty".