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86028544 = 28761787
BaseRepresentation
bin1010010000010…
…11000100000000
312222212200222101
411020023010000
5134010403134
612311520144
72063142040
oct510130400
9188780871
1086028544
1144619578
1224989054
1314a91384
14b5d5720
157844e14
hex520b100

86028544 has 72 divisors (see below), whose sum is σ = 199723328. Its totient is φ = 36218880.

The previous prime is 86028539. The next prime is 86028563. The reversal of 86028544 is 44582068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108919 + ... + 109705.

Almost surely, 286028544 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 86028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99861664).

86028544 is an abundant number, since it is smaller than the sum of its proper divisors (113694784).

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

86028544 is an equidigital number, since it uses as much as digits as its factorization.

86028544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 86028544 is about 9275.1573571557. The cubic root of 86028544 is about 441.4493254771.

The spelling of 86028544 in words is "eighty-six million, twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 787 854 896 976 1574 1708 1792 1952 3148 3416 3904 5509 6296 6832 7808 11018 12592 13664 15616 22036 25184 27328 44072 48007 50368 54656 88144 96014 100736 109312 176288 192028 201472 336049 352576 384056 672098 705152 768112 1344196 1410304 1536224 2688392 3072448 5376784 6144896 10753568 12289792 21507136 43014272 86028544