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4485827808 = 25327111773163
BaseRepresentation
bin1000010110110000…
…00100110011100000
3102120121212122220200
410023120010303200
533141332442213
62021042505200
7216106623120
oct41330046340
912517778820
104485827808
1119a2150910
12a52365200
13566483ba7
14307a9ac80
151b3c3e273
hex10b604ce0

4485827808 has 576 divisors, whose sum is σ = 17175255552. Its totient is φ = 1074954240.

The previous prime is 4485827807. The next prime is 4485827873. The reversal of 4485827808 is 8087285844.

4485827808 is a `hidden beast` number, since 4 + 485 + 82 + 7 + 80 + 8 = 666.

It is a super-2 number, since 2×44858278082 = 40245302246052169728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485827807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27520335 + ... + 27520497.

It is an arithmetic number, because the mean of its divisors is an integer number (29818152).

Almost surely, 24485827808 is an apocalyptic number.

4485827808 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 4485827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587627776).

4485827808 is an abundant number, since it is smaller than the sum of its proper divisors (12689427744).

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

4485827808 is a wasteful number, since it uses less digits than its factorization.

4485827808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The square root of 4485827808 is about 66976.3227416973. The cubic root of 4485827808 is about 1649.2286333856.

The spelling of 4485827808 in words is "four billion, four hundred eighty-five million, eight hundred twenty-seven thousand, eight hundred eight".