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85463216 = 24171923719
BaseRepresentation
bin1010001100000…
…01000010110000
312221210222111022
411012001002300
5133334310331
612251435012
72055265616
oct506010260
9187728438
1085463216
1144272863
1224755a68
1314923c67
14b4c96b6
15778267b
hex51810b0

85463216 has 80 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 36393984.

The previous prime is 85463173. The next prime is 85463219. The reversal of 85463216 is 61236458.

It is a super-2 number, since 2×854632162 = 14607922578125312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85463219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118505 + ... + 119223.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 285463216 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 85463216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

85463216 is an abundant number, since it is smaller than the sum of its proper divisors (107381584).

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

85463216 is a wasteful number, since it uses less digits than its factorization.

85463216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 85463216 is about 9244.6317395557. The cubic root of 85463216 is about 440.4802194956.

The spelling of 85463216 in words is "eighty-five million, four hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 646 719 782 874 1292 1438 1564 1748 2584 2876 3128 3496 5168 5752 6256 6992 7429 11504 12223 13661 14858 16537 24446 27322 29716 33074 48892 54644 59432 66148 97784 109288 118864 132296 195568 218576 232237 264592 281129 314203 464474 562258 628406 928948 1124516 1256812 1857896 2249032 2513624 3715792 4498064 5027248 5341451 10682902 21365804 42731608 85463216