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64075880 = 235111071361
BaseRepresentation
bin1111010001101…
…1100001101000
311110120101120202
43310123201220
5112400412010
610205211332
71405431101
oct364334150
9143511522
1064075880
1133195180
1219560b48
131037622b
14871d3a8
15595a6a5
hex3d1b868

64075880 has 64 divisors (see below), whose sum is σ = 158863680. Its totient is φ = 23065600.

The previous prime is 64075849. The next prime is 64075883. The reversal of 64075880 is 8857046.

64075880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64075883) 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 15 ways as a sum of consecutive naturals, for example, 46400 + ... + 47760.

It is an arithmetic number, because the mean of its divisors is an integer number (2482245).

Almost surely, 264075880 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 64075880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79431840).

64075880 is an abundant number, since it is smaller than the sum of its proper divisors (94787800).

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

64075880 is a wasteful number, since it uses less digits than its factorization.

64075880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 64075880 is about 8004.7410951261. The cubic root of 64075880 is about 400.1580208986.

The spelling of 64075880 in words is "sixty-four million, seventy-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 1361 2140 2354 2722 4280 4708 5444 5885 6805 9416 10888 11770 13610 14971 23540 27220 29942 47080 54440 59884 74855 119768 145627 149710 291254 299420 582508 598840 728135 1165016 1456270 1601897 2912540 3203794 5825080 6407588 8009485 12815176 16018970 32037940 64075880