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85939308 = 223271337709
BaseRepresentation
bin1010001111101…
…01010001101100
312222201011120100
411013311101230
5134000024213
612305551100
72062320630
oct507652154
9188634510
1085939308
1144568524
1224945490
1314a5c880
14b5b0dc0
157828773
hex51f546c

85939308 has 144 divisors (see below), whose sum is σ = 274980160. Its totient is φ = 22021632.

The previous prime is 85939283. The next prime is 85939309. The reversal of 85939308 is 80393958.

It is not an unprimeable number, because it can be changed into a prime (85939309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120858 + ... + 121566.

Almost surely, 285939308 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 85939308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137490080).

85939308 is an abundant number, since it is smaller than the sum of its proper divisors (189040852).

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

85939308 is a wasteful number, since it uses less digits than its factorization.

85939308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 85939308 is about 9270.3456246248. The cubic root of 85939308 is about 441.2966366188.

The spelling of 85939308 in words is "eighty-five million, nine hundred thirty-nine thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 709 777 819 962 1036 1092 1332 1418 1443 1554 1638 1924 2127 2331 2836 2886 3108 3276 3367 4254 4329 4662 4963 5772 6381 6734 8508 8658 9217 9324 9926 10101 12762 13468 14889 17316 18434 19852 20202 25524 26233 27651 29778 30303 36868 40404 44667 52466 55302 59556 60606 64519 78699 82953 89334 104932 110604 121212 129038 157398 165906 178668 183631 193557 236097 258076 314796 331812 341029 367262 387114 472194 550893 580671 682058 734524 774228 944388 1023087 1101786 1161342 1364116 1652679 2046174 2203572 2322684 2387203 3069261 3305358 4092348 4774406 6138522 6610716 7161609 9548812 12277044 14323218 21484827 28646436 42969654 85939308