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87938025 = 35271759167
BaseRepresentation
bin1010011110111…
…01001111101001
320010110201021220
411033131033221
5140003004100
612420452253
72115314040
oct517351751
9203421256
1087938025
114570315a
122554a089
13152ac546
14b971557
157ac0aa0
hex53dd3e9

87938025 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 36971520.

The previous prime is 87938017. The next prime is 87938029. The reversal of 87938025 is 52083978.

It is not a de Polignac number, because 87938025 - 23 = 87938017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87938029) 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 95 ways as a sum of consecutive naturals, for example, 526492 + ... + 526658.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 287938025 is an apocalyptic number.

87938025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87938025 is an abundant number, since it is smaller than the sum of its proper divisors (92050455).

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

87938025 is a wasteful number, since it uses less digits than its factorization.

87938025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 87938025 is about 9377.5276592501. The cubic root of 87938025 is about 444.6915760418.

The spelling of 87938025 in words is "eighty-seven million, nine hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 59 75 85 105 119 167 175 177 255 295 357 413 425 501 525 595 835 885 1003 1169 1239 1275 1475 1785 2065 2505 2839 2975 3009 3507 4175 4425 5015 5845 6195 7021 8517 8925 9853 10325 12525 14195 15045 17535 19873 21063 25075 29225 29559 30975 35105 42585 49265 59619 68971 70975 75225 87675 99365 105315 147795 167501 175525 206913 212925 246325 298095 344855 496825 502503 526575 738975 837505 1034565 1172507 1490475 1724275 2512515 3517521 4187525 5172825 5862535 12562575 17587605 29312675 87938025