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85807806 = 23717472557
BaseRepresentation
bin1010001110101…
…01001010111110
312222110111011220
411013111022332
5133431322211
612303054210
72061232350
oct507251276
9188414156
1085807806
1144488747
12248a1366
1314a14a66
14b5790d0
1577ee806
hex51d52be

85807806 has 64 divisors (see below), whose sum is σ = 212170752. Its totient is φ = 22574592.

The previous prime is 85807769. The next prime is 85807817. The reversal of 85807806 is 60870858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32280 + ... + 34836.

It is an arithmetic number, because the mean of its divisors is an integer number (3315168).

Almost surely, 285807806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85807806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106085376).

85807806 is an abundant number, since it is smaller than the sum of its proper divisors (126362946).

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

85807806 is a wasteful number, since it uses less digits than its factorization.

85807806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633.

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 85807806 is about 9263.2502934985. The cubic root of 85807806 is about 441.0714349961.

The spelling of 85807806 in words is "eighty-five million, eight hundred seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 51 94 102 119 141 238 282 329 357 658 714 799 987 1598 1974 2397 2557 4794 5114 5593 7671 11186 15342 16779 17899 33558 35798 43469 53697 86938 107394 120179 130407 240358 260814 304283 360537 608566 721074 841253 912849 1682506 1825698 2043043 2523759 4086086 5047518 6129129 12258258 14301301 28602602 42903903 85807806