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85036875 = 3547111931
BaseRepresentation
bin1010001000110…
…00111101001011
312221000022122220
411010120331023
5133232140000
612234345123
72051541630
oct504307513
9187008586
1085036875
1144001510
122458b1a3
1314804ba1
14b418187
1576eb1a0
hex5118f4b

85036875 has 160 divisors (see below), whose sum is σ = 191938560. Its totient is φ = 32400000.

The previous prime is 85036871. The next prime is 85036883. The reversal of 85036875 is 57863058.

It is not a de Polignac number, because 85036875 - 22 = 85036871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85036871) 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 159 ways as a sum of consecutive naturals, for example, 2743110 + ... + 2743140.

It is an arithmetic number, because the mean of its divisors is an integer number (1199616).

Almost surely, 285036875 is an apocalyptic number.

85036875 is an abundant number, since it is smaller than the sum of its proper divisors (106901685).

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

85036875 is a wasteful number, since it uses less digits than its factorization.

85036875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 85036875 is about 9221.5440681049. The cubic root of 85036875 is about 439.7465396292.

The spelling of 85036875 in words is "eighty-five million, thirty-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 15 19 21 25 31 33 35 55 57 75 77 93 95 105 125 133 155 165 175 209 217 231 275 285 341 375 385 399 465 475 525 589 625 627 651 665 775 825 875 1023 1045 1085 1155 1375 1425 1463 1705 1767 1875 1925 1995 2325 2375 2387 2625 2945 3135 3255 3325 3875 4123 4125 4375 4389 5115 5225 5425 5775 6479 6875 7125 7161 7315 8525 8835 9625 9975 11625 11875 11935 12369 13125 14725 15675 16275 16625 19375 19437 20615 20625 21945 25575 26125 27125 28875 32395 35625 35805 36575 42625 44175 45353 48125 49875 58125 59675 61845 73625 78375 81375 83125 97185 103075 109725 127875 130625 135625 136059 144375 161975 179025 182875 213125 220875 226765 249375 298375 309225 368125 391875 406875 485925 515375 548625 639375 680295 809875 895125 914375 1104375 1133825 1491875 1546125 2429625 2576875 2743125 3401475 4049375 4475625 5669125 7730625 12148125 17007375 28345625 85036875