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86132046 = 237111314341
BaseRepresentation
bin1010010001001…
…00010101001110
320000001221221210
411020210111032
5134022211141
612314035250
72064052560
oct510442516
9200057853
1086132046
114468a310
1224a18b26
1314ac9510
14b621330
157865916
hex522454e

86132046 has 64 divisors (see below), whose sum is σ = 231307776. Its totient is φ = 20649600.

The previous prime is 86132009. The next prime is 86132063. The reversal of 86132046 is 64023168.

It is a super-2 number, since 2×861320462 = 14837458696292232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1165 + ... + 13176.

It is an arithmetic number, because the mean of its divisors is an integer number (3614184).

Almost surely, 286132046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86132046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115653888).

86132046 is an abundant number, since it is smaller than the sum of its proper divisors (145175730).

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

86132046 is a wasteful number, since it uses less digits than its factorization.

86132046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86132046 is about 9280.7352079455. The cubic root of 86132046 is about 441.6262922312.

The spelling of 86132046 in words is "eighty-six million, one hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 14341 28682 43023 86046 100387 157751 186433 200774 301161 315502 372866 473253 559299 602322 946506 1104257 1118598 1305031 2050763 2208514 2610062 3312771 3915093 4101526 6152289 6625542 7830186 12304578 14355341 28710682 43066023 86132046