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648942966 = 23273891181
BaseRepresentation
bin100110101011100…
…001010101110110
31200020002201101200
4212223201111312
52312112133331
6144221033330
722036632000
oct4653412566
91606081350
10648942966
11303347501
121613b5846
13a45a3b29
1462287370
153be895e6
hex26ae1576

648942966 has 96 divisors (see below), whose sum is σ = 1659528000. Its totient is φ = 183173760.

The previous prime is 648942961. The next prime is 648942977. The reversal of 648942966 is 669249846.

It is a super-2 number, since 2×6489429662 = 842253946241754312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648942961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548896 + ... + 550076.

It is an arithmetic number, because the mean of its divisors is an integer number (17286750).

Almost surely, 2648942966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648942966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829764000).

648942966 is an abundant number, since it is smaller than the sum of its proper divisors (1010585034).

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

648942966 is a wasteful number, since it uses less digits than its factorization.

648942966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1282 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 648942966 is about 25474.3589909540. The cubic root of 648942966 is about 865.7692894550.

It can be divided in two parts, 6489 and 42966, that added together give a triangular number (49455 = T314).

The spelling of 648942966 in words is "six hundred forty-eight million, nine hundred forty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 343 441 534 623 686 801 882 1029 1181 1246 1602 1869 2058 2362 3087 3543 3738 4361 5607 6174 7086 8267 8722 10629 11214 13083 16534 21258 24801 26166 30527 39249 49602 57869 61054 74403 78498 91581 105109 115738 148806 173607 183162 210218 274743 315327 347214 405083 520821 549486 630654 735763 810166 945981 1041642 1215249 1471526 1891962 2207289 2430498 3645747 4414578 5150341 6621867 7291494 10300682 13243734 15451023 30902046 36052387 46353069 72104774 92706138 108157161 216314322 324471483 648942966