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248246112 = 2532699613
BaseRepresentation
bin11101100101111…
…10111101100000
3122022010012122110
432302332331200
51002022333422
640344435320
76103025412
oct1662767540
9568105573
10248246112
11118145a84
126b178b40
133c57a2ba
1424d809b2
1516bd960c
hexecbef60

248246112 has 48 divisors (see below), whose sum is σ = 654136560. Its totient is φ = 82432512.

The previous prime is 248246081. The next prime is 248246113. The reversal of 248246112 is 211642842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2482461122 = 123252264246233088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 248246112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248246113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21018 + ... + 30630.

It is an arithmetic number, because the mean of its divisors is an integer number (13627845).

Almost surely, 2248246112 is an apocalyptic number.

It is an amenable number.

248246112 is an abundant number, since it is smaller than the sum of its proper divisors (405890448).

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

248246112 is a wasteful number, since it uses less digits than its factorization.

248246112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9887 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 248246112 is about 15755.8278741550. The cubic root of 248246112 is about 628.4838928082.

Adding to 248246112 its reverse (211642842), we get a palindrome (459888954).

The spelling of 248246112 in words is "two hundred forty-eight million, two hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 3228 4304 6456 8608 9613 12912 19226 25824 28839 38452 57678 76904 115356 153808 230712 307616 461424 922848 2585897 5171794 7757691 10343588 15515382 20687176 31030764 41374352 62061528 82748704 124123056 248246112