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86479260 = 223571910837
BaseRepresentation
bin1010010011110…
…01000110011100
320000201121020120
411021321012130
5134114314020
612325314540
72100030060
oct511710634
9200647216
1086479260
11448a716a
1224b65a50
1314bbb57a
14b6b1aa0
1578d3740
hex527919c

86479260 has 96 divisors (see below), whose sum is σ = 291325440. Its totient is φ = 18724608.

The previous prime is 86479229. The next prime is 86479271. The reversal of 86479260 is 6297468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2562 + ... + 13398.

It is an arithmetic number, because the mean of its divisors is an integer number (3034640).

Almost surely, 286479260 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 86479260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145662720).

86479260 is an abundant number, since it is smaller than the sum of its proper divisors (204846180).

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

86479260 is a wasteful number, since it uses less digits than its factorization.

86479260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86479260 is about 9299.4225627186. The cubic root of 86479260 is about 442.2189220097.

The spelling of 86479260 in words is "eighty-six million, four hundred seventy-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 10837 21674 32511 43348 54185 65022 75859 108370 130044 151718 162555 205903 216740 227577 303436 325110 379295 411806 455154 617709 650220 758590 823612 910308 1029515 1137885 1235418 1441321 1517180 2059030 2275770 2470836 2882642 3088545 4118060 4323963 4551540 5765284 6177090 7206605 8647926 12354180 14413210 17295852 21619815 28826420 43239630 86479260