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85822308 = 223311135557
BaseRepresentation
bin1010001110110…
…00101101100100
312222111020002000
411013120231210
5133432303213
612303245300
72061322545
oct507305544
9188436060
1085822308
1144498630
12248a9830
1314a1b540
14b5804cc
157803c73
hex51d8b64

85822308 has 96 divisors (see below), whose sum is σ = 261448320. Its totient is φ = 24001920.

The previous prime is 85822283. The next prime is 85822313. The reversal of 85822308 is 80322858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12666 + ... + 18222.

It is an arithmetic number, because the mean of its divisors is an integer number (2723420).

Almost surely, 285822308 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 85822308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130724160).

85822308 is an abundant number, since it is smaller than the sum of its proper divisors (175626012).

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

85822308 is a wasteful number, since it uses less digits than its factorization.

85822308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85822308 is about 9264.0330310292. The cubic root of 85822308 is about 441.0962814444.

The spelling of 85822308 in words is "eighty-five million, eight hundred twenty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 5557 7722 11114 15444 16671 22228 33342 50013 61127 66684 72241 100026 122254 144482 150039 183381 200052 216723 244508 288964 300078 366762 433446 550143 600156 650169 733524 794651 866892 1100286 1300338 1589302 1650429 1950507 2200572 2383953 2600676 3178604 3300858 3901014 4767906 6601716 7151859 7802028 9535812 14303718 21455577 28607436 42911154 85822308