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8475840 = 26355109
BaseRepresentation
bin100000010101…
…010011000000
3120221121200000
4200111103000
54132211330
6501400000
7132020622
oct40252300
916847600
108475840
11486a02a
122a09000
1319a9bb9
1411a8c12
15b26560
hex8154c0

8475840 has 168 divisors, whose sum is σ = 30510480. Its totient is φ = 2239488.

The previous prime is 8475833. The next prime is 8475871. The reversal of 8475840 is 485748.

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 = 8475795 and 8475804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77706 + ... + 77814.

It is an arithmetic number, because the mean of its divisors is an integer number (181610).

Almost surely, 28475840 is an apocalyptic number.

8475840 is a gapful number since it is divisible by the number (80) 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 8475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

8475840 is an abundant number, since it is smaller than the sum of its proper divisors (22034640).

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

8475840 is a wasteful number, since it uses less digits than its factorization.

8475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8475840 is about 2911.3295931584. The cubic root of 8475840 is about 203.8892132020.

The spelling of 8475840 in words is "eight million, four hundred seventy-five thousand, eight hundred forty".