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86875392 = 283314189
BaseRepresentation
bin1010010110110…
…01110100000000
320001110201122010
411023121310000
5134220003032
612342012520
72103300012
oct513316400
9201421563
1086875392
114504784a
1225117140
1314cc9976
14b7761b2
157960ccc
hex52d9d00

86875392 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 27033600.

The previous prime is 86875381. The next prime is 86875463. The reversal of 86875392 is 29357868.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (725760) is a multiple of the sum of its prime factors (180).

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 15 ways as a sum of consecutive naturals, for example, 976084 + ... + 976172.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 286875392 is an apocalyptic number.

86875392 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

86875392 is an abundant number, since it is smaller than the sum of its proper divisors (160366848).

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

86875392 is a wasteful number, since it uses less digits than its factorization.

86875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 86875392 is about 9320.6969696477. The cubic root of 86875392 is about 442.8931116715.

The spelling of 86875392 in words is "eighty-six million, eight hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 89 93 96 123 124 128 164 178 186 192 246 248 256 267 328 356 372 384 492 496 534 656 712 744 768 984 992 1068 1271 1312 1424 1488 1968 1984 2136 2542 2624 2759 2848 2976 3649 3813 3936 3968 4272 5084 5248 5518 5696 5952 7298 7626 7872 7936 8277 8544 10168 10496 10947 11036 11392 11904 14596 15252 15744 16554 17088 20336 21894 22072 22784 23808 29192 30504 31488 33108 34176 40672 43788 44144 58384 61008 66216 68352 81344 87576 88288 113119 116768 122016 132432 162688 175152 176576 226238 233536 244032 264864 325376 339357 350304 353152 452476 467072 488064 529728 678714 700608 706304 904952 934144 976128 1059456 1357428 1401216 1809904 2118912 2714856 2802432 3619808 5429712 7239616 10859424 14479232 21718848 28958464 43437696 86875392