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6449664 = 293131719
BaseRepresentation
bin11000100110101000000000
3110010200021110
4120212220000
53122342124
6350123320
7105551454
oct30465000
913120243
106449664
113705801
1221b0540
13144a890
14bdc664
15876029
hex626a00

6449664 has 160 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1769472.

The previous prime is 6449659. The next prime is 6449671. The reversal of 6449664 is 4669446.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (124416) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339447 + ... + 339465.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 26449664 is an apocalyptic number.

6449664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

6449664 is an abundant number, since it is smaller than the sum of its proper divisors (14174016).

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

6449664 is a wasteful number, since it uses less digits than its factorization.

6449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 6449664 is about 2539.6188690431. The cubic root of 6449664 is about 186.1425661511.

The spelling of 6449664 in words is "six million, four hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 38 39 48 51 52 57 64 68 76 78 96 102 104 114 128 136 152 156 192 204 208 221 228 247 256 272 304 312 323 384 408 416 442 456 494 512 544 608 624 646 663 741 768 816 832 884 912 969 988 1088 1216 1248 1292 1326 1482 1536 1632 1664 1768 1824 1938 1976 2176 2432 2496 2584 2652 2964 3264 3328 3536 3648 3876 3952 4199 4352 4864 4992 5168 5304 5928 6528 6656 7072 7296 7752 7904 8398 8704 9728 9984 10336 10608 11856 12597 13056 14144 14592 15504 15808 16796 19968 20672 21216 23712 25194 26112 28288 29184 31008 31616 33592 41344 42432 47424 50388 56576 62016 63232 67184 82688 84864 94848 100776 113152 124032 126464 134368 165376 169728 189696 201552 248064 268736 339456 379392 403104 496128 537472 806208 1074944 1612416 2149888 3224832 6449664