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86381976 = 23337891093
BaseRepresentation
bin1010010011000…
…01010110011000
320000112122210110
411021201112120
5134103210401
612323244320
72066143332
oct511412630
9200478713
1086381976
114484006a
1224b196a0
1314b861c5
14b688452
1578b49d6
hex5261598

86381976 has 64 divisors (see below), whose sum is σ = 224488800. Its totient is φ = 27675648.

The previous prime is 86381963. The next prime is 86381987. The reversal of 86381976 is 67918368.

It is a congruent number.

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, 78486 + ... + 79578.

Almost surely, 286381976 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 86381976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112244400).

86381976 is an abundant number, since it is smaller than the sum of its proper divisors (138106824).

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

86381976 is a wasteful number, since it uses less digits than its factorization.

86381976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 86381976 is about 9294.1904434975. The cubic root of 86381976 is about 442.0530365028.

The spelling of 86381976 in words is "eighty-six million, three hundred eighty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 1093 2136 2186 3279 3293 4372 6558 6586 8744 9879 13116 13172 19758 26232 26344 39516 40441 79032 80882 97277 121323 161764 194554 242646 291831 323528 389108 485292 583662 778216 970584 1167324 2334648 3599249 7198498 10797747 14396996 21595494 28793992 43190988 86381976