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86848512 = 2103171663
BaseRepresentation
bin1010010110100…
…11010000000000
320001102100202120
411023103100000
5134213123022
612341244240
72103125442
oct513232000
9201370676
1086848512
1145029633
1225103680
1314cba66a
14b76a492
157957d5c
hex52d3400

86848512 has 88 divisors (see below), whose sum is σ = 245246976. Its totient is φ = 27230208.

The previous prime is 86848507. The next prime is 86848513. The reversal of 86848512 is 21584868.

It is a super-2 number, since 2×868485122 = 15085328073228288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86848513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51393 + ... + 53055.

Almost surely, 286848512 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 86848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623488).

86848512 is an abundant number, since it is smaller than the sum of its proper divisors (158398464).

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

86848512 is a wasteful number, since it uses less digits than its factorization.

86848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 86848512 is about 9319.2549058388. The cubic root of 86848512 is about 442.8474286358.

The spelling of 86848512 in words is "eighty-six million, eight hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 1663 2176 3072 3264 3326 4352 4989 6528 6652 8704 9978 13056 13304 17408 19956 26112 26608 28271 39912 52224 53216 56542 79824 84813 106432 113084 159648 169626 212864 226168 319296 339252 425728 452336 638592 678504 851456 904672 1277184 1357008 1702912 1809344 2554368 2714016 3618688 5108736 5428032 7237376 10856064 14474752 21712128 28949504 43424256 86848512