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86472192 = 293192963
BaseRepresentation
bin1010010011101…
…11011000000000
320000201020112210
411021313120000
5134114102232
612325222120
72100000342
oct511673000
9200636483
1086472192
11448a1924
1224b61940
1314bb82a1
14b6ad292
1578d15cc
hex5277600

86472192 has 80 divisors (see below), whose sum is σ = 242573760. Its totient is φ = 27297792.

The previous prime is 86472181. The next prime is 86472227. The reversal of 86472192 is 29127468.

It is a self number, because there is not a number n which added to its sum of digits gives 86472192.

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 7 ways as a sum of consecutive naturals, for example, 27703 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 286472192 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 86472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121286880).

86472192 is an abundant number, since it is smaller than the sum of its proper divisors (156101568).

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

86472192 is a wasteful number, since it uses less digits than its factorization.

86472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2987 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 86472192 is about 9299.0425313577. The cubic root of 86472192 is about 442.2068740786.

The spelling of 86472192 in words is "eighty-six million, four hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 2963 3648 4864 5926 7296 8889 9728 11852 14592 17778 23704 29184 35556 47408 56297 71112 94816 112594 142224 168891 189632 225188 284448 337782 379264 450376 568896 675564 758528 900752 1137792 1351128 1517056 1801504 2275584 2702256 3603008 4551168 5404512 7206016 10809024 14412032 21618048 28824064 43236096 86472192