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4079420865 = 3251322953349
BaseRepresentation
bin1111001100100111…
…0000010111000001
3101112022011001101200
43303021300113001
531323312431430
61512444051413
7203043335202
oct36311602701
911468131350
104079420865
1118037aa303
1295a233b69
1350020b300
142a9b095a9
1518d212460
hexf32705c1

4079420865 has 144 divisors (see below), whose sum is σ = 8093358000. Its totient is φ = 1897039872.

The previous prime is 4079420843. The next prime is 4079420927. The reversal of 4079420865 is 5680249704.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2883367809 + 1196053056 = 53697^2 + 34584^2 .

It is not a de Polignac number, because 4079420865 - 25 = 4079420833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4079420865.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11688711 + ... + 11689059.

It is an arithmetic number, because the mean of its divisors is an integer number (56203875).

Almost surely, 24079420865 is an apocalyptic number.

4079420865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4079420865 is a deficient number, since it is larger than the sum of its proper divisors (4013937135).

4079420865 is a wasteful number, since it uses less digits than its factorization.

4079420865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4079420865 is about 63870.3441747420. The cubic root of 4079420865 is about 1597.8383392931.

The spelling of 4079420865 in words is "four billion, seventy-nine million, four hundred twenty thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 39 45 53 65 87 117 145 159 169 195 261 265 349 377 435 477 507 585 689 795 845 1047 1131 1305 1521 1537 1745 1885 2067 2385 2535 3141 3393 3445 4537 4611 4901 5235 5655 6201 7605 7685 8957 10121 10335 13611 13833 14703 15705 16965 18497 19981 22685 23055 24505 26871 30363 31005 40833 44109 44785 50605 55491 58981 59943 68055 69165 73515 80613 91089 92485 99905 131573 134355 151815 166473 176943 179829 204165 220545 240461 259753 277455 294905 299715 394719 403065 455445 530829 536413 657865 721383 779259 832365 884715 899145 1184157 1202305 1298765 1609239 1710449 1973595 2164149 2337777 2654145 2682065 3125993 3606915 3896295 4827717 5131347 5920785 6973369 8046195 8552245 9377979 10820745 11688885 15394041 15629965 20920107 24138585 25656735 28133937 34866845 46889895 62760321 76970205 90653797 104600535 140669685 271961391 313801605 453268985 815884173 1359806955 4079420865