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85262190 = 23513267251
BaseRepresentation
bin1010001010011…
…11111101101110
312221102202201220
411011033331232
5133311342230
612243244210
72053500546
oct505177556
9187382656
1085262190
1144145822
1224679666
1314883600
14b476326
157742d10
hex514ff6e

85262190 has 96 divisors (see below), whose sum is σ = 225783936. Its totient is φ = 20592000.

The previous prime is 85262179. The next prime is 85262197. The reversal of 85262190 is 9126258.

It is a super-2 number, since 2×852621902 = 14539282087192200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85262197) 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 47 ways as a sum of consecutive naturals, for example, 339565 + ... + 339815.

It is an arithmetic number, because the mean of its divisors is an integer number (2351916).

Almost surely, 285262190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85262190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112891968).

85262190 is an abundant number, since it is smaller than the sum of its proper divisors (140521746).

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

85262190 is a wasteful number, since it uses less digits than its factorization.

85262190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 85262190 is about 9233.7527582235. The cubic root of 85262190 is about 440.1345834862.

The spelling of 85262190 in words is "eighty-five million, two hundred sixty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 169 195 201 251 335 338 390 402 502 507 670 753 845 871 1005 1014 1255 1506 1690 1742 2010 2510 2535 2613 3263 3765 4355 5070 5226 6526 7530 8710 9789 11323 13065 16315 16817 19578 22646 26130 32630 33634 33969 42419 48945 50451 56615 67938 84085 84838 97890 100902 113230 127257 168170 169845 212095 218621 252255 254514 339690 424190 437242 504510 636285 655863 1093105 1272570 1311726 2186210 2842073 3279315 5684146 6558630 8526219 14210365 17052438 28420730 42631095 85262190