Search a number
-
+
86043648 = 210337757
BaseRepresentation
bin1010010000011…
…10110000000000
312222220110200210
411020032300000
5134011344043
612312114120
72063234055
oct510166000
9188813623
1086043648
1144629959
1224995940
1314a98202
14b5db02c
157849633
hex520ec00

86043648 has 88 divisors (see below), whose sum is σ = 235847152. Its totient is φ = 27869184.

The previous prime is 86043637. The next prime is 86043673. The reversal of 86043648 is 84634068.

It is a super-2 number, since 2×860436482 = 14807018722295808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113286 + ... + 114042.

Almost surely, 286043648 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 86043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117923576).

86043648 is an abundant number, since it is smaller than the sum of its proper divisors (149803504).

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

86043648 is a wasteful number, since it uses less digits than its factorization.

86043648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 86043648 is about 9275.9715394130. The cubic root of 86043648 is about 441.4751589975.

The spelling of 86043648 in words is "eighty-six million, forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 757 768 888 1024 1184 1514 1536 1776 2271 2368 3028 3072 3552 4542 4736 6056 7104 9084 9472 12112 14208 18168 18944 24224 28009 28416 36336 37888 48448 56018 56832 72672 84027 96896 112036 113664 145344 168054 193792 224072 290688 336108 387584 448144 581376 672216 775168 896288 1162752 1344432 1792576 2325504 2688864 3585152 5377728 7170304 10755456 14340608 21510912 28681216 43021824 86043648