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75755064 = 23371140993
BaseRepresentation
bin1001000001111…
…10111000111000
312021112202102010
410200332320320
5123343130224
611303405520
71606623150
oct440767070
9167482363
1075755064
11398419a0
12214538a0
13129051a8
14a0bd760
1569b5e29
hex483ee38

75755064 has 64 divisors (see below), whose sum is σ = 236125440. Its totient is φ = 19676160.

The previous prime is 75755059. The next prime is 75755081. The reversal of 75755064 is 46055757.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 18649 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (3689460).

Almost surely, 275755064 is an apocalyptic number.

It is an amenable number.

75755064 is an abundant number, since it is smaller than the sum of its proper divisors (160370376).

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

75755064 is a wasteful number, since it uses less digits than its factorization.

75755064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41020 (or 41016 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 75755064 is about 8703.7385071014. The cubic root of 75755064 is about 423.1268223476.

The spelling of 75755064 in words is "seventy-five million, seven hundred fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 40993 81986 122979 163972 245958 286951 327944 450923 491916 573902 860853 901846 983832 1147804 1352769 1721706 1803692 2295608 2705538 3156461 3443412 3607384 5411076 6312922 6886824 9469383 10822152 12625844 18938766 25251688 37877532 75755064