Search a number
-
+
64858014 = 23213318941
BaseRepresentation
bin1111011101101…
…0011110011110
311112001010110200
43313122132132
5113100424024
610234044330
71415166264
oct367323636
9145033420
1064858014
1133679871
12198796a6
131058b230
148884434
155a622c9
hex3dda79e

64858014 has 48 divisors (see below), whose sum is σ = 156234624. Its totient is φ = 19310400.

The previous prime is 64857971. The next prime is 64858019. The reversal of 64858014 is 41085846.

64858014 is a `hidden beast` number, since 64 + 8 + 580 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64858014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64858019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2784 + ... + 11724.

It is an arithmetic number, because the mean of its divisors is an integer number (3254888).

Almost surely, 264858014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64858014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78117312).

64858014 is an abundant number, since it is smaller than the sum of its proper divisors (91376610).

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

64858014 is a wasteful number, since it uses less digits than its factorization.

64858014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 64858014 is about 8053.4473363896. The cubic root of 64858014 is about 401.7795999848.

The spelling of 64858014 in words is "sixty-four million, eight hundred fifty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 8941 17882 26823 53646 80469 116233 160938 232466 277171 348699 554342 697398 831513 1046097 1663026 2092194 2494539 3603223 4989078 7206446 10809669 21619338 32429007 64858014