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86886448 = 2411618093
BaseRepresentation
bin1010010110111…
…00100000110000
320001111021210121
411023130200300
5134220331243
612342140024
72103344155
oct513344060
9201437717
1086886448
1145055090
1225121614
13150019cc
14b77a22c
1579641ed
hex52dc830

86886448 has 40 divisors (see below), whose sum is σ = 186680016. Its totient is φ = 38841600.

The previous prime is 86886427. The next prime is 86886497. The reversal of 86886448 is 84468868.

It is a junction number, because it is equal to n+sod(n) for n = 86886395 and 86886404.

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, 6690 + ... + 14782.

Almost surely, 286886448 is an apocalyptic number.

86886448 is a gapful number since it is divisible by the number (88) 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 86886448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93340008).

86886448 is an abundant number, since it is smaller than the sum of its proper divisors (99793568).

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

86886448 is a wasteful number, since it uses less digits than its factorization.

86886448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8167 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 86886448 is about 9321.2900394741. The cubic root of 86886448 is about 442.9118988041.

The spelling of 86886448 in words is "eighty-six million, eight hundred eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 8093 10736 16186 32372 64744 89023 129488 178046 356092 493673 712184 987346 1424368 1974692 3949384 5430403 7898768 10860806 21721612 43443224 86886448