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426982644 = 2233111073359
BaseRepresentation
bin11001011100110…
…011110011110100
31002202102222002000
4121130303303310
51333301421034
6110211415300
713403202234
oct3134636364
91082388060
10426982644
111aa025420
12babb4530
136a5cb06a
14409c9cc4
1527743599
hex19733cf4

426982644 has 96 divisors (see below), whose sum is σ = 1219276800. Its totient is φ = 128141280.

The previous prime is 426982643. The next prime is 426982679. The reversal of 426982644 is 446289624.

It is a self number, because there is not a number n which added to its sum of digits gives 426982644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426982643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125437 + ... + 128795.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2426982644 is an apocalyptic number.

426982644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426982644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

426982644 is an abundant number, since it is smaller than the sum of its proper divisors (792294156).

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

426982644 is a wasteful number, since it uses less digits than its factorization.

426982644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3482 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 426982644 is about 20663.5583576498. The cubic root of 426982644 is about 753.0146185318.

The spelling of 426982644 in words is "four hundred twenty-six million, nine hundred eighty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 107 108 132 198 214 297 321 396 428 594 642 963 1177 1188 1284 1926 2354 2889 3359 3531 3852 4708 5778 6718 7062 10077 10593 11556 13436 14124 20154 21186 30231 31779 36949 40308 42372 60462 63558 73898 90693 110847 120924 127116 147796 181386 221694 332541 359413 362772 443388 665082 718826 997623 1078239 1330164 1437652 1995246 2156478 3234717 3953543 3990492 4312956 6469434 7907086 9704151 11860629 12938868 15814172 19408302 23721258 35581887 38816604 47442516 71163774 106745661 142327548 213491322 426982644