Search a number
-
+
64522416 = 243733919
BaseRepresentation
bin1111011000100…
…0100010110000
311111102002010010
43312020202300
5113004204131
610222534520
71412301000
oct366104260
9144362103
1064522416
113346a712
1219737440
13104a155a
1487d8000
1559e7b46
hex3d888b0

64522416 has 80 divisors (see below), whose sum is σ = 194432000. Its totient is φ = 18430272.

The previous prime is 64522411. The next prime is 64522427. The reversal of 64522416 is 61422546.

It is not an unprimeable number, because it can be changed into a prime (64522411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14505 + ... + 18423.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 264522416 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 64522416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216000).

64522416 is an abundant number, since it is smaller than the sum of its proper divisors (129909584).

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

64522416 is a wasteful number, since it uses less digits than its factorization.

64522416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3931 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 64522416 is about 8032.5846400769. The cubic root of 64522416 is about 401.0854186684.

The spelling of 64522416 in words is "sixty-four million, five hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 3919 4116 5488 7838 8232 11757 15676 16464 23514 27433 31352 47028 54866 62704 82299 94056 109732 164598 188112 192031 219464 329196 384062 438928 576093 658392 768124 1152186 1316784 1344217 1536248 2304372 2688434 3072496 4032651 4608744 5376868 8065302 9217488 10753736 16130604 21507472 32261208 64522416