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666394848 = 253273110663
BaseRepresentation
bin100111101110000…
…110000011100000
31201102221100212200
4213232012003200
52331044113343
6150043053200
722341156060
oct4756060340
91642840780
10666394848
11312187349
12167211200
13a80a44a2
146470b3a0
153d7854d3
hex27b860e0

666394848 has 144 divisors (see below), whose sum is σ = 2235856896. Its totient is φ = 184239360.

The previous prime is 666394843. The next prime is 666394873. The reversal of 666394848 is 848493666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 666394794 and 666394803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666394843) 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, 57165 + ... + 67827.

It is an arithmetic number, because the mean of its divisors is an integer number (15526784).

Almost surely, 2666394848 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 666394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117928448).

666394848 is an abundant number, since it is smaller than the sum of its proper divisors (1569462048).

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

666394848 is a wasteful number, since it uses less digits than its factorization.

666394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10706 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 666394848 is about 25814.6246922166. The cubic root of 666394848 is about 873.4617208579.

The spelling of 666394848 in words is "six hundred sixty-six million, three hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 10663 15624 20832 21326 31248 31989 42652 62496 63978 74641 85304 95967 127956 149282 170608 191934 223923 255912 298564 330553 341216 383868 447846 511824 597128 661106 671769 767736 895692 991659 1023648 1194256 1322212 1343538 1535472 1791384 1983318 2313871 2388512 2644424 2687076 2974977 3070944 3582768 3966636 4627742 5288848 5374152 5949954 6941613 7165536 7933272 9255484 10577696 10748304 11899908 13883226 15866544 18510968 20824839 21496608 23799816 27766452 31733088 37021936 41649678 47599632 55532904 74043872 83299356 95199264 111065808 166598712 222131616 333197424 666394848