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64249848 = 23341329263
BaseRepresentation
bin1111010100010…
…1111111111000
311110220020020000
43311011333320
5112421443343
610213033000
71410054225
oct365057770
9143806200
1064249848
11332a3953
1219625760
1310407480
14876694c
155991ed3
hex3d45ff8

64249848 has 160 divisors (see below), whose sum is σ = 201247200. Its totient is φ = 19014912.

The previous prime is 64249847. The next prime is 64249891. The reversal of 64249848 is 84894246.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64249841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244165 + ... + 244427.

It is an arithmetic number, because the mean of its divisors is an integer number (1257795).

Almost surely, 264249848 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 64249848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623600).

64249848 is an abundant number, since it is smaller than the sum of its proper divisors (136997352).

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

64249848 is a wasteful number, since it uses less digits than its factorization.

64249848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 64249848 is about 8015.6002894356. The cubic root of 64249848 is about 400.5198407879.

The spelling of 64249848 in words is "sixty-four million, two hundred forty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 81 87 104 108 116 117 156 162 174 216 232 234 261 263 312 324 348 351 377 468 522 526 648 696 702 754 783 789 936 1044 1052 1053 1131 1404 1508 1566 1578 2088 2104 2106 2262 2349 2367 2808 3016 3132 3156 3393 3419 4212 4524 4698 4734 6264 6312 6786 6838 7101 7627 8424 9048 9396 9468 10179 10257 13572 13676 14202 15254 18792 18936 20358 20514 21303 22881 27144 27352 28404 30508 30537 30771 40716 41028 42606 45762 56808 61016 61074 61542 68643 81432 82056 85212 91524 92313 99151 122148 123084 137286 170424 183048 184626 198302 205929 244296 246168 274572 276939 297453 369252 396604 411858 549144 553878 594906 617787 738504 793208 823716 892359 1107756 1189812 1235574 1647432 1784718 2215512 2379624 2471148 2677077 3569436 4942296 5354154 7138872 8031231 10708308 16062462 21416616 32124924 64249848