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102427641 = 3253214733
BaseRepresentation
bin1100001101011…
…10101111111001
321010201212022100
412012232233321
5202210141031
614055214013
72352422601
oct606565771
9233655270
10102427641
11528aa448
122a377309
13182b3794
14d863c01
158ed3de6
hex61aebf9

102427641 has 12 divisors (see below), whose sum is σ = 150743268. Its totient is φ = 66996384.

The previous prime is 102427631. The next prime is 102427649. The reversal of 102427641 is 146724201.

102427641 is a `hidden beast` number, since 10 + 2 + 4 + 2 + 7 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26998416 + 75429225 = 5196^2 + 8685^2 .

It is not a de Polignac number, because 102427641 - 217 = 102296569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102427649) by changing a digit.

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, 106890 + ... + 107843.

It is an arithmetic number, because the mean of its divisors is an integer number (12561939).

Almost surely, 2102427641 is an apocalyptic number.

It is an amenable number.

102427641 is a deficient number, since it is larger than the sum of its proper divisors (48315627).

102427641 is a wasteful number, since it uses less digits than its factorization.

102427641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214792 (or 214789 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102427641 is about 10120.6541784610. The cubic root of 102427641 is about 467.8849295220.

The spelling of 102427641 in words is "one hundred two million, four hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 3 9 53 159 477 214733 644199 1932597 11380849 34142547 102427641