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86800288 = 2516371657
BaseRepresentation
bin1010010110001…
…11011110100000
320001022220121111
411023013132200
5134210102123
612340233104
72102535031
oct513073640
9201286544
1086800288
1144aa6383
122509b794
1314ca1723
14b756a88
15794890d
hex52c77a0

86800288 has 24 divisors (see below), whose sum is σ = 171095652. Its totient is φ = 43347456.

The previous prime is 86800253. The next prime is 86800289. The reversal of 86800288 is 88200868.

It can be written as a sum of positive squares in 2 ways, for example, as 73753744 + 13046544 = 8588^2 + 3612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86800288.

It is not an unprimeable number, because it can be changed into a prime (86800289) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 51556 + ... + 53212.

Almost surely, 286800288 is an apocalyptic number.

It is an amenable number.

86800288 is a deficient number, since it is larger than the sum of its proper divisors (84295364).

86800288 is a wasteful number, since it uses less digits than its factorization.

86800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 86800288 is about 9316.6672152653. The cubic root of 86800288 is about 442.7654474640.

The spelling of 86800288 in words is "eighty-six million, eight hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 1637 1657 3274 3314 6548 6628 13096 13256 26192 26512 52384 53024 2712509 5425018 10850036 21700072 43400144 86800288