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248643381 = 3761194101
BaseRepresentation
bin11101101000111…
…11111100110101
3122022212101121010
432310133330311
51002123042011
640401142433
76106301550
oct1664377465
9568771533
10248643381
111183974a8
126b32aa19
133c68907c
1425045697
1516c671a6
hexed1ff35

248643381 has 16 divisors (see below), whose sum is σ = 385098368. Its totient is φ = 139752000.

The previous prime is 248643347. The next prime is 248643383. The reversal of 248643381 is 183346842.

It is a happy number.

It is not a de Polignac number, because 248643381 - 29 = 248642869 is a prime.

It is a super-2 number, since 2×2486433812 = 123647061830222322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248643383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95770 + ... + 98331.

It is an arithmetic number, because the mean of its divisors is an integer number (24068648).

Almost surely, 2248643381 is an apocalyptic number.

248643381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

248643381 is a deficient number, since it is larger than the sum of its proper divisors (136454987).

248643381 is a wasteful number, since it uses less digits than its factorization.

248643381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194172.

The product of its digits is 110592, while the sum is 39.

The square root of 248643381 is about 15768.4298837900. The cubic root of 248643381 is about 628.8189690189.

The spelling of 248643381 in words is "two hundred forty-eight million, six hundred forty-three thousand, three hundred eighty-one".

Divisors: 1 3 7 21 61 183 427 1281 194101 582303 1358707 4076121 11840161 35520483 82881127 248643381