Search a number
-
+
663842382 = 237374761149
BaseRepresentation
bin100111100100010…
…110111001001110
31201021010200112220
4213210112321032
52324420424012
6145512240210
722310365350
oct4744267116
91637120486
10663842382
113107a3675
121663a0066
13a76bc758
14642450d0
153d42e08c
hex27916e4e

663842382 has 128 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 176463360.

The previous prime is 663842341. The next prime is 663842449. The reversal of 663842382 is 283248366.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4455244 + ... + 4455392.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2663842382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663842382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

663842382 is an abundant number, since it is smaller than the sum of its proper divisors (964624818).

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

663842382 is a wasteful number, since it uses less digits than its factorization.

663842382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306.

The product of its digits is 331776, while the sum is 42.

The square root of 663842382 is about 25765.1388895927. The cubic root of 663842382 is about 872.3450986219.

The spelling of 663842382 in words is "six hundred sixty-three million, eight hundred forty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 37 42 47 61 74 94 111 122 141 149 183 222 259 282 298 329 366 427 447 518 658 777 854 894 987 1043 1281 1554 1739 1974 2086 2257 2562 2867 3129 3478 4514 5217 5513 5734 6258 6771 7003 8601 9089 10434 11026 12173 13542 14006 15799 16539 17202 18178 20069 21009 24346 27267 31598 33078 36519 38591 40138 42018 47397 49021 54534 60207 63623 73038 77182 94794 98042 106079 115773 120414 127246 147063 190869 212158 231546 259111 294126 318237 336293 381738 427183 518222 636474 672586 742553 777333 854366 1008879 1281549 1485106 1554666 1813777 2017758 2227659 2354051 2563098 2990281 3627554 4455318 4708102 5441331 5980562 7062153 8970843 10882662 14124306 15805771 17941686 31611542 47417313 94834626 110640397 221280794 331921191 663842382