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86425800 = 23352294967
BaseRepresentation
bin1010010011011…
…00000011001000
320000121212220120
411021230003020
5134111111200
612324223240
72066415156
oct511540310
9200555816
1086425800
114486aa8a
1224b3ab20
1314ba0136
14b69a3d6
1578c29a0
hex526c0c8

86425800 has 96 divisors (see below), whose sum is σ = 277214400. Its totient is φ = 22247680.

The previous prime is 86425793. The next prime is 86425819. The reversal of 86425800 is 852468.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14917 + ... + 19883.

It is an arithmetic number, because the mean of its divisors is an integer number (2887650).

Almost surely, 286425800 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 86425800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138607200).

86425800 is an abundant number, since it is smaller than the sum of its proper divisors (190788600).

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

86425800 is a wasteful number, since it uses less digits than its factorization.

86425800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86425800 is about 9296.5477463411. The cubic root of 86425800 is about 442.1277791671.

The spelling of 86425800 in words is "eighty-six million, four hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 4967 5800 8700 9934 14901 17400 19868 24835 29802 39736 49670 59604 74505 99340 119208 124175 144043 149010 198680 248350 288086 298020 372525 432129 496700 576172 596040 720215 745050 864258 993400 1152344 1440430 1490100 1728516 2160645 2880860 2980200 3457032 3601075 4321290 5761720 7202150 8642580 10803225 14404300 17285160 21606450 28808600 43212900 86425800