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86727942 = 2337273449
BaseRepresentation
bin1010010101101…
…01110100000110
320001012020101000
411022311310012
5134200243232
612334514130
72102114100
oct512656406
9201166330
1086727942
1144a56a94
1225065946
1314c77812
14b738570
15793227c
hex52b5d06

86727942 has 96 divisors (see below), whose sum is σ = 227772000. Its totient is φ = 24385536.

The previous prime is 86727929. The next prime is 86727967. The reversal of 86727942 is 24972768.

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 47 ways as a sum of consecutive naturals, for example, 192934 + ... + 193382.

It is an arithmetic number, because the mean of its divisors is an integer number (2372625).

Almost surely, 286727942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86727942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113886000).

86727942 is an abundant number, since it is smaller than the sum of its proper divisors (141044058).

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

86727942 is a wasteful number, since it uses less digits than its factorization.

86727942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 86727942 is about 9312.7837943335. The cubic root of 86727942 is about 442.6424017411.

The spelling of 86727942 in words is "eighty-six million, seven hundred twenty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 73 98 126 146 147 189 219 294 378 438 441 449 511 657 882 898 1022 1314 1323 1347 1533 1971 2646 2694 3066 3143 3577 3942 4041 4599 6286 7154 8082 9198 9429 10731 12123 13797 18858 21462 22001 24246 27594 28287 32193 32777 44002 56574 64386 65554 66003 84861 96579 98331 132006 169722 193158 196662 198009 229439 294993 396018 458878 589986 594027 688317 884979 1188054 1376634 1606073 1769958 2064951 3212146 4129902 4818219 6194853 9636438 12389706 14454657 28909314 43363971 86727942