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85858512 = 24373107229
BaseRepresentation
bin1010001111000…
…01100011010000
312222120001201220
411013201203100
5133434433022
612304125040
72061533235
oct507414320
9188501656
1085858512
1144512853
1224906780
1314a31b6c
14b58d78c
15780e85c
hex51e18d0

85858512 has 80 divisors (see below), whose sum is σ = 227931840. Its totient is φ = 27841536.

The previous prime is 85858481. The next prime is 85858523. The reversal of 85858512 is 21585858.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374814 + ... + 375042.

It is an arithmetic number, because the mean of its divisors is an integer number (2849148).

Almost surely, 285858512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85858512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113965920).

85858512 is an abundant number, since it is smaller than the sum of its proper divisors (142073328).

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

85858512 is a wasteful number, since it uses less digits than its factorization.

85858512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 128000, while the sum is 42.

The square root of 85858512 is about 9265.9868335758. The cubic root of 85858512 is about 441.1582979725.

The spelling of 85858512 in words is "eighty-five million, eight hundred fifty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 107 146 214 219 229 292 321 428 438 458 584 642 687 856 876 916 1168 1284 1374 1712 1752 1832 2568 2748 3504 3664 5136 5496 7811 10992 15622 16717 23433 24503 31244 33434 46866 49006 50151 62488 66868 73509 93732 98012 100302 124976 133736 147018 187464 196024 200604 267472 294036 374928 392048 401208 588072 802416 1176144 1788719 3577438 5366157 7154876 10732314 14309752 21464628 28619504 42929256 85858512