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88152125 = 531494733
BaseRepresentation
bin1010100000100…
…01100000111101
320010212120222112
411100101200331
5140031332000
612425223405
72120165165
oct520214075
9203776875
1088152125
1145839aa6
1225631b65
1315355b29
14b9c95a5
157b14235
hex541183d

88152125 has 16 divisors (see below), whose sum is σ = 110775600. Its totient is φ = 70033600.

The previous prime is 88152121. The next prime is 88152149. The reversal of 88152125 is 52125188.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62315236 + 25836889 = 7894^2 + 5083^2 .

It is not a de Polignac number, because 88152125 - 22 = 88152121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 88152091 and 88152100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88152121) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 16259 + ... + 20991.

It is an arithmetic number, because the mean of its divisors is an integer number (6923475).

Almost surely, 288152125 is an apocalyptic number.

It is an amenable number.

88152125 is a deficient number, since it is larger than the sum of its proper divisors (22623475).

88152125 is a wasteful number, since it uses less digits than its factorization.

88152125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4887 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 88152125 is about 9388.9363082300. The cubic root of 88152125 is about 445.0521758457.

The spelling of 88152125 in words is "eighty-eight million, one hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 125 149 745 3725 4733 18625 23665 118325 591625 705217 3526085 17630425 88152125