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248375808 = 293453113
BaseRepresentation
bin11101100110111…
…10101000000000
3122022100210120000
432303132220000
51002041011213
640351320000
76104105502
oct1663365000
9568323500
10248375808
1111822446a
126b220000
133c5c4345
1424db5d72
1516c12c73
hexecdea00

248375808 has 200 divisors, whose sum is σ = 762008148. Its totient is φ = 80510976.

The previous prime is 248375789. The next prime is 248375819. The reversal of 248375808 is 808573842.

It can be written as a sum of positive squares in 2 ways, for example, as 237406464 + 10969344 = 15408^2 + 3312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197960 + ... + 2198072.

Almost surely, 2248375808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381004074).

248375808 is an abundant number, since it is smaller than the sum of its proper divisors (513632340).

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

248375808 is an equidigital number, since it uses as much as digits as its factorization.

248375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 248375808 is about 15759.9431471056. The cubic root of 248375808 is about 628.5933240700.

The spelling of 248375808 in words is "two hundred forty-eight million, three hundred seventy-five thousand, eight hundred eight".