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86423976 = 2333478513
BaseRepresentation
bin1010010011010…
…11100110101000
320000121210102000
411021223212220
5134111031401
612324211000
72066406642
oct511534650
9200553360
1086423976
1144869681
1224b39a60
1314b9c362
14b699892
1578c2186
hex526b9a8

86423976 has 64 divisors (see below), whose sum is σ = 245203200. Its totient is φ = 28191744.

The previous prime is 86423959. The next prime is 86423977. The reversal of 86423976 is 67932468.

It is not an unprimeable number, because it can be changed into a prime (86423977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5896 + ... + 14408.

It is an arithmetic number, because the mean of its divisors is an integer number (3831300).

Almost surely, 286423976 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 86423976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122601600).

86423976 is an abundant number, since it is smaller than the sum of its proper divisors (158779224).

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

86423976 is a wasteful number, since it uses less digits than its factorization.

86423976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8565 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86423976 is about 9296.4496448913. The cubic root of 86423976 is about 442.1246688045.

It can be divided in two parts, 8642397 and 6, that added together give a triangular number (8642403 = T4157).

The spelling of 86423976 in words is "eighty-six million, four hundred twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 8513 10152 17026 25539 34052 51078 68104 76617 102156 153234 204312 229851 306468 400111 459702 612936 800222 919404 1200333 1600444 1838808 2400666 3200888 3600999 4801332 7201998 9602664 10802997 14403996 21605994 28807992 43211988 86423976