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248480512 = 287138661
BaseRepresentation
bin11101100111110…
…00001100000000
3122022120010011221
432303320030000
51002102334022
640353444424
76105022660
oct1663701400
9568503157
10248480512
111182960a5
126b270714
133c62cbb7
14250021a0
1516c33cc7
hexecf8300

248480512 has 36 divisors (see below), whose sum is σ = 566850256. Its totient is φ = 106490880.

The previous prime is 248480501. The next prime is 248480513. The reversal of 248480512 is 215084842.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (248480513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67539 + ... + 71122.

Almost surely, 2248480512 is an apocalyptic number.

It is an amenable number.

248480512 is an abundant number, since it is smaller than the sum of its proper divisors (318369744).

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

248480512 is an equidigital number, since it uses as much as digits as its factorization.

248480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138684 (or 138670 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 248480512 is about 15763.2646364895. The cubic root of 248480512 is about 628.6816404936.

The spelling of 248480512 in words is "two hundred forty-eight million, four hundred eighty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 138661 277322 554644 970627 1109288 1941254 2218576 3882508 4437152 7765016 8874304 15530032 17748608 31060064 35497216 62120128 124240256 248480512