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4255842528 = 2532719137811
BaseRepresentation
bin1111110110101011…
…0000000011100000
3101222121010012102100
43331222300003200
532203443430103
61542145250400
7210315031110
oct37552600340
911877105370
104255842528
111894348533
129a9333a00
1352a92b522
142c5311040
1519d9605a3
hexfdab00e0

4255842528 has 288 divisors, whose sum is σ = 14683818240. Its totient is φ = 1142138880.

The previous prime is 4255842523. The next prime is 4255842541. The reversal of 4255842528 is 8252485524.

4255842528 is a `hidden beast` number, since 4 + 2 + 558 + 42 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42558425282 = 36224391246266861568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4255842523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247243 + ... + 5248053.

It is an arithmetic number, because the mean of its divisors is an integer number (50985480).

Almost surely, 24255842528 is an apocalyptic number.

4255842528 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 4255842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341909120).

4255842528 is an abundant number, since it is smaller than the sum of its proper divisors (10427975712).

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

4255842528 is a wasteful number, since it uses less digits than its factorization.

4255842528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The square root of 4255842528 is about 65236.8188065605. The cubic root of 4255842528 is about 1620.5478165594.

The spelling of 4255842528 in words is "four billion, two hundred fifty-five million, eight hundred forty-two thousand, five hundred twenty-eight".