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85810914 = 2347312441
BaseRepresentation
bin1010001110101…
…01111011100010
312222110122110000
411013111323202
5133431422124
612303120430
72061244410
oct507257342
9188418400
1085810914
1144490012
12248a3116
1314a162b7
14b57a2b0
1578006c9
hex51d5ee2

85810914 has 80 divisors (see below), whose sum is σ = 226930176. Its totient is φ = 23716800.

The previous prime is 85810903. The next prime is 85810927. The reversal of 85810914 is 41901858.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33934 + ... + 36374.

Almost surely, 285810914 is an apocalyptic number.

85810914 is the 5859-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85810914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113465088).

85810914 is an abundant number, since it is smaller than the sum of its proper divisors (141119262).

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

85810914 is a wasteful number, since it uses less digits than its factorization.

85810914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 85810914 is about 9263.4180516697. The cubic root of 85810914 is about 441.0767602050.

The spelling of 85810914 in words is "eighty-five million, eight hundred ten thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 1134 1302 1674 1953 2441 2511 3906 4882 5022 5859 7323 11718 14646 17087 17577 21969 34174 35154 43938 51261 65907 75671 102522 131814 151342 153783 197721 227013 307566 395442 454026 461349 529697 681039 922698 1059394 1362078 1384047 1589091 2043117 2768094 3178182 4086234 4767273 6129351 9534546 12258702 14301819 28603638 42905457 85810914