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87393075 = 35271137409
BaseRepresentation
bin1010011010110…
…00001100110011
320002110000202120
411031120030303
5134333034300
612401045323
72110554210
oct515301463
9202400676
1087393075
1145370790
1225326843
131514b4a3
14b86cb07
157a143a0
hex5358333

87393075 has 96 divisors (see below), whose sum is σ = 185464320. Its totient is φ = 35251200.

The previous prime is 87393049. The next prime is 87393079. The reversal of 87393075 is 57039378.

It is not a de Polignac number, because 87393075 - 211 = 87391027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87393079) 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 95 ways as a sum of consecutive naturals, for example, 213471 + ... + 213879.

It is an arithmetic number, because the mean of its divisors is an integer number (1931920).

Almost surely, 287393075 is an apocalyptic number.

87393075 is an abundant number, since it is smaller than the sum of its proper divisors (98071245).

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

87393075 is a wasteful number, since it uses less digits than its factorization.

87393075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 87393075 is about 9348.4263381598. The cubic root of 87393075 is about 443.7710907122.

The spelling of 87393075 in words is "eighty-seven million, three hundred ninety-three thousand, seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 37 55 75 77 105 111 165 175 185 231 259 275 385 407 409 525 555 777 825 925 1155 1221 1227 1295 1925 2035 2045 2775 2849 2863 3885 4499 5775 6105 6135 6475 8547 8589 10175 10225 13497 14245 14315 15133 19425 22495 30525 30675 31493 42735 42945 45399 67485 71225 71575 75665 94479 105931 112475 157465 166463 213675 214725 226995 317793 337425 378325 472395 499389 529655 787325 832315 1134975 1165241 1588965 2361975 2496945 2648275 3495723 4161575 5826205 7944825 12484725 17478615 29131025 87393075