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87525216 = 2532303907
BaseRepresentation
bin1010011011110…
…00011101100000
320002200202000200
411031320131200
5134401301331
612403545200
72111644362
oct515703540
9202622020
1087525216
1145450a99
122538b200
131519668c
14b8a4d32
157a3d5e6
hex5378760

87525216 has 36 divisors (see below), whose sum is σ = 248900652. Its totient is φ = 29174976.

The previous prime is 87525211. The next prime is 87525223. The reversal of 87525216 is 61252578.

It is a happy number.

87525216 is a `hidden beast` number, since 87 + 52 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87525211) 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 5 ways as a sum of consecutive naturals, for example, 151666 + ... + 152241.

It is an arithmetic number, because the mean of its divisors is an integer number (6913907).

Almost surely, 287525216 is an apocalyptic number.

It is an amenable number.

87525216 is an abundant number, since it is smaller than the sum of its proper divisors (161375436).

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

87525216 is a wasteful number, since it uses less digits than its factorization.

87525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303923 (or 303912 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 87525216 is about 9355.4912217371. The cubic root of 87525216 is about 443.9946432273.

The spelling of 87525216 in words is "eighty-seven million, five hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 303907 607814 911721 1215628 1823442 2431256 2735163 3646884 4862512 5470326 7293768 9725024 10940652 14587536 21881304 29175072 43762608 87525216