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85859368 = 23722389107
BaseRepresentation
bin1010001111000…
…01110000101000
312222120002220121
411013201300220
5133434444433
612304133024
72061535600
oct507416050
9188502817
1085859368
1144513461
1224907174
1314a3237a
14b58dc00
15780ec2d
hex51e1c28

85859368 has 96 divisors (see below), whose sum is σ = 199454400. Its totient is φ = 34476288.

The previous prime is 85859357. The next prime is 85859369. The reversal of 85859368 is 86395858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85859369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 802371 + ... + 802477.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 285859368 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 85859368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99727200).

85859368 is an abundant number, since it is smaller than the sum of its proper divisors (113595032).

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

85859368 is a wasteful number, since it uses less digits than its factorization.

85859368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 85859368 is about 9266.0330238997. The cubic root of 85859368 is about 441.1597640677.

The spelling of 85859368 in words is "eighty-five million, eight hundred fifty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 89 92 98 107 161 178 184 196 214 322 356 392 428 623 644 712 749 856 1127 1246 1288 1498 2047 2254 2461 2492 2996 4094 4361 4508 4922 4984 5243 5992 8188 8722 9016 9523 9844 10486 14329 16376 17227 17444 19046 19688 20972 28658 34454 34888 38092 41944 57316 66661 68908 76184 100303 114632 120589 133322 137816 200606 219029 241178 266644 401212 438058 466627 482356 533288 802424 876116 933254 964712 1533203 1752232 1866508 3066406 3733016 6132812 10732421 12265624 21464842 42929684 85859368