Search a number
-
+
664389376 = 28717113193
BaseRepresentation
bin100111100110011…
…100011100000000
31201022011110212221
4213212130130000
52330040430001
6145532100424
722315134160
oct4746343400
91638143787
10664389376
11311037632
12166604714
13a7851711
14643485a0
153d4db1a1
hex2799c700

664389376 has 144 divisors (see below), whose sum is σ = 1627383744. Its totient is φ = 264241152.

The previous prime is 664389347. The next prime is 664389409. The reversal of 664389376 is 673983466.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3442336 + ... + 3442528.

It is an arithmetic number, because the mean of its divisors is an integer number (11301276).

Almost surely, 2664389376 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 664389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813691872).

664389376 is an abundant number, since it is smaller than the sum of its proper divisors (962994368).

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

664389376 is a wasteful number, since it uses less digits than its factorization.

664389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The square root of 664389376 is about 25775.7517058184. The cubic root of 664389376 is about 872.5846316539.

The spelling of 664389376 in words is "six hundred sixty-four million, three hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 113 119 128 136 193 224 226 238 256 272 386 448 452 476 544 772 791 896 904 952 1088 1351 1544 1582 1792 1808 1904 1921 2176 2702 3088 3164 3281 3616 3808 3842 4352 5404 6176 6328 6562 7232 7616 7684 10808 12352 12656 13124 13447 14464 15232 15368 21616 21809 22967 24704 25312 26248 26894 28928 30464 30736 43232 43618 45934 49408 50624 52496 53788 61472 86464 87236 91868 101248 104992 107576 122944 152663 172928 174472 183736 202496 209984 215152 245888 305326 345856 348944 367472 370753 419968 430304 491776 610652 697888 734944 741506 839936 860608 1221304 1395776 1469888 1483012 1721216 2442608 2595271 2791552 2939776 2966024 3442432 4885216 5190542 5583104 5879552 5932048 9770432 10381084 11864096 19540864 20762168 23728192 39081728 41524336 47456384 83048672 94912768 166097344 332194688 664389376