Search a number
-
+
64766944 = 2511243389
BaseRepresentation
bin1111011100010…
…0001111100000
311111212111112201
43313010033200
5113040020234
610232102544
71414336624
oct367041740
9144774481
1064766944
1133617400
1219834a54
1310558948
14885d184
155a45314
hex3dc43e0

64766944 has 72 divisors (see below), whose sum is σ = 143783640. Its totient is φ = 28680960.

The previous prime is 64766929. The next prime is 64766951. The reversal of 64766944 is 44966746.

64766944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64766894 and 64766903.

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 11 ways as a sum of consecutive naturals, for example, 166302 + ... + 166690.

It is an arithmetic number, because the mean of its divisors is an integer number (1996995).

Almost surely, 264766944 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 64766944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71891820).

64766944 is an abundant number, since it is smaller than the sum of its proper divisors (79016696).

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

64766944 is a wasteful number, since it uses less digits than its factorization.

64766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 64766944 is about 8047.7912497778. The cubic root of 64766944 is about 401.5914597423.

The spelling of 64766944 in words is "sixty-four million, seven hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 121 172 176 242 344 352 389 473 484 688 778 946 968 1376 1556 1892 1936 3112 3784 3872 4279 5203 6224 7568 8558 10406 12448 15136 16727 17116 20812 33454 34232 41624 47069 66908 68464 83248 94138 133816 136928 166496 183997 188276 267632 367994 376552 535264 735988 753104 1471976 1506208 2023967 2943952 4047934 5887904 8095868 16191736 32383472 64766944