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87045525 = 32527173251
BaseRepresentation
bin1010011000000…
…11010110010101
320001210101000100
411030003112111
5134240424100
612345404313
72104606020
oct514032625
9201711010
1087045525
1145153656
1225199699
1315059238
14b7bc1b7
157996400
hex5303595

87045525 has 72 divisors (see below), whose sum is σ = 188720064. Its totient is φ = 37440000.

The previous prime is 87045523. The next prime is 87045527. The reversal of 87045525 is 52554078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87045523) and next prime (87045527).

It is not a de Polignac number, because 87045525 - 21 = 87045523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87045525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87045521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25150 + ... + 28400.

It is an arithmetic number, because the mean of its divisors is an integer number (2621112).

Almost surely, 287045525 is an apocalyptic number.

87045525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87045525 is an abundant number, since it is smaller than the sum of its proper divisors (101674539).

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

87045525 is a wasteful number, since it uses less digits than its factorization.

87045525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 87045525 is about 9329.8191300796. The cubic root of 87045525 is about 443.1820373677.

The spelling of 87045525 in words is "eighty-seven million, forty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3251 3825 5355 8925 9753 16255 22757 26775 29259 48765 55267 68271 81275 113785 146295 165801 204813 243825 276335 341355 386869 497403 568925 731475 829005 1024065 1160607 1381675 1706775 1934345 2487015 3481821 4145025 5120325 5803035 9671725 12435075 17409105 29015175 87045525