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666838872 = 233371725943
BaseRepresentation
bin100111101111110…
…010011101011000
31201110202220222000
4213233302131120
52331202320442
6150100401000
722345015440
oct4757623530
91643686860
10666838872
1131245aa07
121673a6160
13a81cb61b
14647c5120
153d821d4c
hex27bf2758

666838872 has 128 divisors (see below), whose sum is σ = 2241561600. Its totient is φ = 179311104.

The previous prime is 666838871. The next prime is 666838927. The reversal of 666838872 is 278838666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666838871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12733 + ... + 38675.

It is an arithmetic number, because the mean of its divisors is an integer number (17512200).

Almost surely, 2666838872 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 666838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120780800).

666838872 is an abundant number, since it is smaller than the sum of its proper divisors (1574722728).

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

666838872 is a wasteful number, since it uses less digits than its factorization.

666838872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25982 (or 25972 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 666838872 is about 25823.2235013369. The cubic root of 666838872 is about 873.6556758684.

The spelling of 666838872 in words is "six hundred sixty-six million, eight hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 25943 51886 77829 103772 155658 181601 207544 233487 311316 363202 441031 466974 544803 622632 700461 726404 882062 933948 1089606 1323093 1400922 1452808 1634409 1764124 1867896 2179212 2646186 2801844 3087217 3268818 3528248 3969279 4358424 4903227 5292372 5603688 6174434 6537636 7938558 9261651 9806454 10584744 11907837 12348868 13075272 15877116 18523302 19612908 23815674 24697736 27784953 31754232 37046604 39225816 47631348 55569906 74093208 83354859 95262696 111139812 166709718 222279624 333419436 666838872