Search a number
-
+
86046168 = 23313793491
BaseRepresentation
bin1010010000011…
…11010111011000
312222220121011010
411020033113120
5134011434133
612312133520
72063244315
oct510172730
9188817133
1086046168
114463083a
12249972a0
1314a993c0
14b5dbd0c
15784a263
hex520f5d8

86046168 has 64 divisors (see below), whose sum is σ = 234662400. Its totient is φ = 26133120.

The previous prime is 86046119. The next prime is 86046187. The reversal of 86046168 is 86164068.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22903 + ... + 26393.

It is an arithmetic number, because the mean of its divisors is an integer number (3666600).

Almost surely, 286046168 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 86046168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331200).

86046168 is an abundant number, since it is smaller than the sum of its proper divisors (148616232).

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

86046168 is a wasteful number, since it uses less digits than its factorization.

86046168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86046168 is about 9276.1073732466. The cubic root of 86046168 is about 441.4794688509.

The spelling of 86046168 in words is "eighty-six million, forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 3491 4108 6162 6982 8216 10473 12324 13964 20946 24648 27928 41892 45383 83784 90766 136149 181532 272298 275789 363064 544596 551578 827367 1089192 1103156 1654734 2206312 3309468 3585257 6618936 7170514 10755771 14341028 21511542 28682056 43023084 86046168