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64047214 = 27211195359
BaseRepresentation
bin1111010001010…
…0100001101110
311110111221021001
43310110201232
5112344002324
610204430514
71405251400
oct364244156
9143457231
1064047214
1133175690
121954843a
131036617a
148712b70
155951e44
hex3d1486e

64047214 has 96 divisors (see below), whose sum is σ = 132969600. Its totient is φ = 22800960.

The previous prime is 64047197. The next prime is 64047223. The reversal of 64047214 is 41274046.

64047214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1085517 + ... + 1085575.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 264047214 is an apocalyptic number.

64047214 is an abundant number, since it is smaller than the sum of its proper divisors (68922386).

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

64047214 is a wasteful number, since it uses less digits than its factorization.

64047214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 64047214 is about 8002.9503309717. The cubic root of 64047214 is about 400.0983383220.

It can be divided in two parts, 64047 and 214, that added together give a triangular number (64261 = T358).

The spelling of 64047214 in words is "sixty-four million, forty-seven thousand, two hundred fourteen".

Divisors: 1 2 7 11 14 19 22 38 49 53 59 77 98 106 118 133 154 209 266 371 413 418 539 583 649 742 826 931 1007 1078 1121 1166 1298 1463 1862 2014 2242 2597 2891 2926 3127 4081 4543 5194 5782 6254 7049 7847 8162 9086 10241 11077 12331 14098 15694 20482 21889 22154 24662 28567 31801 34397 43778 49343 54929 57134 59413 63602 68794 77539 86317 98686 109858 118826 153223 155078 172634 240779 306446 415891 481558 542773 604219 653543 831782 1085546 1208438 1307086 1685453 2911237 3370906 4574801 5822474 9149602 32023607 64047214