Search a number
-
+
85868181 = 3777179
BaseRepresentation
bin1010001111000…
…11111010010101
312222120120000000
411013203322111
5133440240211
612304241513
72061603360
oct507437225
9188516000
1085868181
114451a043
1224910299
1314a36399
14b5930d7
157812656
hex51e3e95

85868181 has 64 divisors (see below), whose sum is σ = 151142400. Its totient is φ = 47764080.

The previous prime is 85868147. The next prime is 85868191. The reversal of 85868181 is 18186858.

It is a happy number.

It is not a de Polignac number, because 85868181 - 26 = 85868117 is a prime.

It is a super-2 number, since 2×858681812 = 14746689016497522, which contains 22 as substring.

Its product of digits (122880) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85868141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086900 + ... + 1086978.

It is an arithmetic number, because the mean of its divisors is an integer number (2361600).

Almost surely, 285868181 is an apocalyptic number.

85868181 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85868181 is a deficient number, since it is larger than the sum of its proper divisors (65274219).

85868181 is an frugal number, since it uses more digits than its factorization.

85868181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The square root of 85868181 is about 9266.5085657976. The cubic root of 85868181 is about 441.1748577729.

The spelling of 85868181 in words is "eighty-five million, eight hundred sixty-eight thousand, one hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 71 79 81 189 213 237 243 497 553 567 639 711 729 1491 1659 1701 1917 2133 2187 4473 4977 5103 5609 5751 6399 13419 14931 15309 16827 17253 19197 39263 40257 44793 50481 51759 57591 117789 120771 134379 151443 155277 172773 353367 362313 403137 454329 1060101 1086939 1209411 1362987 3180303 4088961 9540909 12266883 28622727 85868181