Search a number
-
+
426658672 = 241129179467
BaseRepresentation
bin11001011011100…
…100101101110000
31002201211111200001
4121123210231300
51333211034142
6110200435344
713400352556
oct3133445560
91081744601
10426658672
111a9923a80
12baa78b54
136a51676b
1440943bd6
15276cc5b7
hex196e4b70

426658672 has 80 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 185803520.

The previous prime is 426658663. The next prime is 426658691. The reversal of 426658672 is 276856624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913383 + ... + 913849.

It is an arithmetic number, because the mean of its divisors is an integer number (11751480).

Almost surely, 2426658672 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 426658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

426658672 is an abundant number, since it is smaller than the sum of its proper divisors (513459728).

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

426658672 is a wasteful number, since it uses less digits than its factorization.

426658672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 426658672 is about 20655.7176587985. The cubic root of 426658672 is about 752.8241210321.

The spelling of 426658672 in words is "four hundred twenty-six million, six hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 179 232 319 358 464 467 638 716 934 1276 1432 1868 1969 2552 2864 3736 3938 5104 5137 5191 7472 7876 10274 10382 13543 15752 20548 20764 27086 31504 41096 41528 54172 57101 82192 83056 83593 108344 114202 148973 167186 216688 228404 297946 334372 456808 595892 668744 913616 919523 1191784 1337488 1839046 2383568 2424197 3678092 4848394 7356184 9696788 14712368 19393576 26666167 38787152 53332334 106664668 213329336 426658672