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86278480 = 2452937189
BaseRepresentation
bin1010010010010…
…00000101010000
320000100101211021
411021020011100
5134041402410
612321125224
72065232521
oct511100520
9200311737
1086278480
114477a332
1224a89814
1314b4b072
14b65c848
157893eda
hex5248150

86278480 has 40 divisors (see below), whose sum is σ = 207520200. Its totient is φ = 33320448.

The previous prime is 86278459. The next prime is 86278483. The reversal of 86278480 is 8487268.

It can be written as a sum of positive squares in 4 ways, for example, as 23931664 + 62346816 = 4892^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×862784802 = 14887952222220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86278483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16275 + ... + 20914.

It is an arithmetic number, because the mean of its divisors is an integer number (5188005).

Almost surely, 286278480 is an apocalyptic number.

86278480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86278480 is an abundant number, since it is smaller than the sum of its proper divisors (121241720).

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

86278480 is a wasteful number, since it uses less digits than its factorization.

86278480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37231 (or 37225 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 86278480 is about 9288.6209956053. The cubic root of 86278480 is about 441.8764217081.

The spelling of 86278480 in words is "eighty-six million, two hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 37189 74378 148756 185945 297512 371890 595024 743780 1078481 1487560 2156962 2975120 4313924 5392405 8627848 10784810 17255696 21569620 43139240 86278480