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422048664 = 23331726761
BaseRepresentation
bin11001001001111…
…111001110011000
31002102011021221000
4121021333032120
51331021024124
6105513545000
713313232402
oct3111771630
91072137830
10422048664
111a7265454
12b9415160
136959134b
14400a3b72
15270bb6c9
hex1927f398

422048664 has 96 divisors (see below), whose sum is σ = 1245560400. Its totient is φ = 132387840.

The previous prime is 422048659. The next prime is 422048701. The reversal of 422048664 is 466840224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59044 + ... + 65804.

Almost surely, 2422048664 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 422048664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622780200).

422048664 is an abundant number, since it is smaller than the sum of its proper divisors (823511736).

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

422048664 is a wasteful number, since it uses less digits than its factorization.

422048664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 422048664 is about 20543.8230132563. The cubic root of 422048664 is about 750.1028978821.

Adding to 422048664 its reverse (466840224), we get a palindrome (888888888).

The spelling of 422048664 in words is "four hundred twenty-two million, forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2312 2601 3468 3672 5202 6761 6936 7803 10404 13522 15606 20283 20808 27044 31212 40566 54088 60849 62424 81132 114937 121698 162264 182547 229874 243396 344811 365094 459748 486792 689622 730188 919496 1034433 1379244 1460376 1953929 2068866 2758488 3103299 3907858 4137732 5861787 6206598 7815716 8275464 11723574 12413196 15631432 17585361 23447148 24826392 35170722 46894296 52756083 70341444 105512166 140682888 211024332 422048664