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128463642 = 23239717977
BaseRepresentation
bin1111010100000…
…11001100011010
322221201121222200
413222003030122
5230341314032
620425231030
73116631366
oct752031432
9287647880
10128463642
11665726aa
1237032476
13207cb3b8
14130c02a6
15b42847c
hex7a8331a

128463642 has 24 divisors (see below), whose sum is σ = 279054516. Its totient is φ = 42710976.

The previous prime is 128463641. The next prime is 128463653. The reversal of 128463642 is 246364821.

128463642 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 3 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127441521 + 1022121 = 11289^2 + 1011^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128463597 and 128463606.

It is not an unprimeable number, because it can be changed into a prime (128463641) 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 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 16134.

Almost surely, 2128463642 is an apocalyptic number.

128463642 is an abundant number, since it is smaller than the sum of its proper divisors (150590874).

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

128463642 is a wasteful number, since it uses less digits than its factorization.

128463642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382 (or 18379 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 128463642 is about 11334.1802526694. The cubic root of 128463642 is about 504.5761787342.

The spelling of 128463642 in words is "one hundred twenty-eight million, four hundred sixty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 397 794 1191 2382 3573 7146 17977 35954 53931 107862 161793 323586 7136869 14273738 21410607 42821214 64231821 128463642