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75314064 = 2437224149
BaseRepresentation
bin1000111110100…
…11001110010000
312020201100110210
410133103032100
5123240022224
611250124120
71603105350
oct437231620
9166640423
1075314064
1139570631
1221280640
13127ac547
14a006b60
15692a429
hex47d3390

75314064 has 40 divisors (see below), whose sum is σ = 222356800. Its totient is φ = 21518208.

The previous prime is 75314059. The next prime is 75314087. The reversal of 75314064 is 46041357.

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 7 ways as a sum of consecutive naturals, for example, 111739 + ... + 112410.

It is an arithmetic number, because the mean of its divisors is an integer number (5558920).

Almost surely, 275314064 is an apocalyptic number.

It is an amenable number.

75314064 is an abundant number, since it is smaller than the sum of its proper divisors (147042736).

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

75314064 is a wasteful number, since it uses less digits than its factorization.

75314064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224167 (or 224161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75314064 is about 8678.3675884351. The cubic root of 75314064 is about 422.3041614237.

The spelling of 75314064 in words is "seventy-five million, three hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 224149 448298 672447 896596 1344894 1569043 1793192 2689788 3138086 3586384 4707129 5379576 6276172 9414258 10759152 12552344 18828516 25104688 37657032 75314064