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85850076 = 223132371337
BaseRepresentation
bin1010001110111…
…11011111011100
312222112122011110
411013133133130
5133434200301
612304022020
72061466524
oct507373734
9188478143
1085850076
1144507484
1224901910
1314a2b080
14b58a684
15780c0d6
hex51df7dc

85850076 has 96 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 24837120.

The previous prime is 85850057. The next prime is 85850077. The reversal of 85850076 is 67005858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85850077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254580 + ... + 254916.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 285850076 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 85850076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

85850076 is an abundant number, since it is smaller than the sum of its proper divisors (143103012).

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

85850076 is a wasteful number, since it uses less digits than its factorization.

85850076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 85850076 is about 9265.5316091415. The cubic root of 85850076 is about 441.1438488779.

The spelling of 85850076 in words is "eighty-five million, eight hundred fifty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 71 78 92 138 142 156 213 276 284 299 337 426 598 674 852 897 923 1011 1196 1348 1633 1794 1846 2022 2769 3266 3588 3692 4044 4381 4899 5538 6532 7751 8762 9798 11076 13143 15502 17524 19596 21229 23253 23927 26286 31004 42458 46506 47854 52572 63687 71781 84916 93012 95708 100763 127374 143562 201526 254748 287124 302289 311051 403052 550321 604578 622102 933153 1100642 1209156 1244204 1650963 1866306 2201284 3301926 3732612 6603852 7154173 14308346 21462519 28616692 42925038 85850076