Search a number
-
+
64917664 = 257614751
BaseRepresentation
bin1111011110100…
…1000010100000
311112011011021221
43313221002200
5113104331124
610235224424
71415535220
oct367510240
9145134257
1064917664
113370a669
12198a8114
13105ac426
14889c080
155a74ce4
hex3de90a0

64917664 has 48 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 27360000.

The previous prime is 64917613. The next prime is 64917667. The reversal of 64917664 is 46671946.

It is a self number, because there is not a number n which added to its sum of digits gives 64917664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64917667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11289 + ... + 16039.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 264917664 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 64917664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

64917664 is an abundant number, since it is smaller than the sum of its proper divisors (83572832).

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

64917664 is a wasteful number, since it uses less digits than its factorization.

64917664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4821 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 64917664 is about 8057.1498682847. The cubic root of 64917664 is about 401.9027346507.

The spelling of 64917664 in words is "sixty-four million, nine hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 4751 6832 9502 13664 19004 33257 38008 66514 76016 133028 152032 266056 289811 532112 579622 1064224 1159244 2028677 2318488 4057354 4636976 8114708 9273952 16229416 32458832 64917664