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64904224 = 2572115371
BaseRepresentation
bin1111011110010…
…1110000100000
311112010110212011
43313211300200
5113103413344
610235042304
71415451100
oct367456040
9145113764
1064904224
1133700560
12198a0394
13105a6288
148897200
155a70d34
hex3de5c20

64904224 has 144 divisors (see below), whose sum is σ = 167541696. Its totient is φ = 24460800.

The previous prime is 64904221. The next prime is 64904263. The reversal of 64904224 is 42240946.

64904224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64904221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 914109 + ... + 914179.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484).

Almost surely, 264904224 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 64904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83770848).

64904224 is an abundant number, since it is smaller than the sum of its proper divisors (102637472).

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

64904224 is a wasteful number, since it uses less digits than its factorization.

64904224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 64904224 is about 8056.3157832846. The cubic root of 64904224 is about 401.8749972306.

Subtracting from 64904224 its reverse (42240946), we obtain a triangular number (22663278 = T6732).

The spelling of 64904224 in words is "sixty-four million, nine hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 53 56 71 77 88 98 106 112 142 154 176 196 212 224 284 308 352 371 392 424 497 539 568 583 616 742 781 784 848 994 1078 1136 1166 1232 1484 1562 1568 1696 1988 2156 2272 2332 2464 2597 2968 3124 3479 3763 3976 4081 4312 4664 5194 5467 5936 6248 6958 7526 7952 8162 8624 9328 10388 10934 11872 12496 13916 15052 15904 16324 17248 18656 20776 21868 24992 26341 27832 28567 30104 32648 38269 41393 41552 43736 52682 55664 57134 60208 65296 76538 82786 83104 87472 105364 111328 114268 120416 130592 153076 165572 174944 184387 210728 228536 289751 306152 331144 368774 421456 457072 579502 612304 662288 737548 842912 914144 1159004 1224608 1324576 1475096 2028257 2318008 2950192 4056514 4636016 5900384 8113028 9272032 16226056 32452112 64904224