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86423712 = 2532937839
BaseRepresentation
bin1010010011010…
…11100010100000
320000121210001020
411021223202200
5134111024322
612324205440
72066406114
oct511534240
9200553036
1086423712
1144869461
1224b39880
1314b9c1bb
14b699744
1578c205c
hex526b8a0

86423712 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 27030528.

The previous prime is 86423681. The next prime is 86423737. The reversal of 86423712 is 21732468.

It is a tau number, because it is divible by the number of its divisors (96).

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, 102589 + ... + 103427.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 286423712 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 86423712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

86423712 is an abundant number, since it is smaller than the sum of its proper divisors (154891488).

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

86423712 is a wasteful number, since it uses less digits than its factorization.

86423712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 86423712 is about 9296.4354459115. The cubic root of 86423712 is about 442.1242186168.

The spelling of 86423712 in words is "eighty-six million, four hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 74 87 96 111 116 148 174 222 232 296 348 444 464 592 696 839 888 928 1073 1184 1392 1678 1776 2146 2517 2784 3219 3356 3552 4292 5034 6438 6712 8584 10068 12876 13424 17168 20136 24331 25752 26848 31043 34336 40272 48662 51504 62086 72993 80544 93129 97324 103008 124172 145986 186258 194648 248344 291972 372516 389296 496688 583944 745032 778592 900247 993376 1167888 1490064 1800494 2335776 2700741 2980128 3600988 5401482 7201976 10802964 14403952 21605928 28807904 43211856 86423712