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4056509688 = 2337211313583
BaseRepresentation
bin1111000111001001…
…0110110011111000
3101110201001001011120
43301302112303320
531301431302223
61510305025240
7202344522600
oct36162266370
911421031146
104056509688
1117a1880850
12952625220
134c8548aba
142a6a63c00
1518b1d8be3
hexf1c96cf8

4056509688 has 96 divisors (see below), whose sum is σ = 12869487360. Its totient is φ = 1053635520.

The previous prime is 4056509683. The next prime is 4056509719. The reversal of 4056509688 is 8869056504.

It is a self number, because there is not a number n which added to its sum of digits gives 4056509688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056509683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143856 + ... + 169727.

It is an arithmetic number, because the mean of its divisors is an integer number (134057160).

Almost surely, 24056509688 is an apocalyptic number.

It is an amenable number.

4056509688 is an abundant number, since it is smaller than the sum of its proper divisors (8812977672).

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

4056509688 is a wasteful number, since it uses less digits than its factorization.

4056509688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313617 (or 313606 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 4056509688 is about 63690.7347107882. The cubic root of 4056509688 is about 1594.8414183129.

The spelling of 4056509688 in words is "four billion, fifty-six million, five hundred nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 313583 627166 940749 1254332 1881498 2195081 2508664 3449413 3762996 4390162 6585243 6898826 7525992 8780324 10348239 13170486 13797652 15365567 17560648 20696478 24145891 26340972 27595304 30731134 41392956 46096701 48291782 52681944 61462268 72437673 82785912 92193402 96583564 122924536 144875346 169021237 184386804 193167128 289750692 338042474 368773608 507063711 579501384 676084948 1014127422 1352169896 2028254844 4056509688