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82262144 = 27642673
BaseRepresentation
bin1001110011100…
…11100010000000
312201210100110002
410321303202000
5132024342034
612055055132
72016134216
oct471634200
9181710402
1082262144
1142486848
12236714a8
1314072c33
14acd4cb6
15734de7e
hex4e73880

82262144 has 16 divisors (see below), whose sum is σ = 163881870. Its totient is φ = 41131008.

The previous prime is 82262123. The next prime is 82262171. The reversal of 82262144 is 44126228.

It can be written as a sum of positive squares in only one way, i.e., 58369600 + 23892544 = 7640^2 + 4888^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 321209 + ... + 321464.

Almost surely, 282262144 is an apocalyptic number.

It is an amenable number.

82262144 is a deficient number, since it is larger than the sum of its proper divisors (81619726).

82262144 is an equidigital number, since it uses as much as digits as its factorization.

82262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642687 (or 642675 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 82262144 is about 9069.8480692898. The cubic root of 82262144 is about 434.9106153596.

The spelling of 82262144 in words is "eighty-two million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 642673 1285346 2570692 5141384 10282768 20565536 41131072 82262144