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248404842 = 23271971467
BaseRepresentation
bin11101100111001…
…01101101101010
3122022102021101100
432303211231222
51002042423332
640352102230
76104256240
oct1663455552
9568367340
10248404842
11118244264
126b234976
133c60461a
1424dc2790
1516c1b67c
hexece5b6a

248404842 has 24 divisors (see below), whose sum is σ = 615098016. Its totient is φ = 70972776.

The previous prime is 248404831. The next prime is 248404861.

248404842 is a `hidden beast` number, since 248 + 404 + 8 + 4 + 2 = 666.

248404842 is nontrivially palindromic in base 10.

248404842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248404797 and 248404806.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 985608 + ... + 985859.

It is an arithmetic number, because the mean of its divisors is an integer number (25629084).

Almost surely, 2248404842 is an apocalyptic number.

248404842 is an abundant number, since it is smaller than the sum of its proper divisors (366693174).

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

248404842 is a wasteful number, since it uses less digits than its factorization.

248404842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971482 (or 1971479 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 248404842 is about 15760.8642529526. The cubic root of 248404842 is about 628.6178163473.

The spelling of 248404842 in words is "two hundred forty-eight million, four hundred four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1971467 3942934 5914401 11828802 13800269 17743203 27600538 35486406 41400807 82801614 124202421 248404842