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248447380 = 225232711993
BaseRepresentation
bin11101100111100…
…00000110010100
3122022111102201211
432303300012110
51002100304010
640353031204
76104524246
oct1663600624
9568442654
10248447380
11118273215
126b255504
133c61aaac
1424dd4096
1516c2908a
hexecf0194

248447380 has 48 divisors (see below), whose sum is σ = 546706944. Its totient is φ = 94659840.

The previous prime is 248447377. The next prime is 248447383. The reversal of 248447380 is 83744842.

It is an interprime number because it is at equal distance from previous prime (248447377) and next prime (248447383).

It is a super-2 number, since 2×2484473802 = 123452201257728800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248447383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123664 + ... + 125656.

It is an arithmetic number, because the mean of its divisors is an integer number (11389728).

Almost surely, 2248447380 is an apocalyptic number.

248447380 is a gapful number since it is divisible by the number (20) 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 248447380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273353472).

248447380 is an abundant number, since it is smaller than the sum of its proper divisors (298259564).

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

248447380 is a wasteful number, since it uses less digits than its factorization.

248447380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 248447380 is about 15762.2136770188. The cubic root of 248447380 is about 628.6536967784.

The spelling of 248447380 in words is "two hundred forty-eight million, four hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 271 460 542 1084 1355 1993 2710 3986 5420 6233 7972 9965 12466 19930 24932 31165 39860 45839 62330 91678 124660 183356 229195 458390 540103 916780 1080206 2160412 2700515 5401030 10802060 12422369 24844738 49689476 62111845 124223690 248447380