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4428108405 = 345717139661
BaseRepresentation
bin1000001111110111…
…11001001001110101
3102102121021012210000
410013323321021311
533032043432110
62011221421513
7214506205020
oct40773711165
912377235700
104428108405
111972608426
12a36b6a899
13557524cb6
143001541b7
151adb3c1c0
hex107ef9275

4428108405 has 160 divisors (see below), whose sum is σ = 9689137920. Its totient is φ = 1888634880.

The previous prime is 4428108389. The next prime is 4428108413. The reversal of 4428108405 is 5048018244.

It is not a de Polignac number, because 4428108405 - 24 = 4428108389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4428108405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6698775 + ... + 6699435.

It is an arithmetic number, because the mean of its divisors is an integer number (60557112).

Almost surely, 24428108405 is an apocalyptic number.

4428108405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4428108405 is an abundant number, since it is smaller than the sum of its proper divisors (5261029515).

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

4428108405 is a wasteful number, since it uses less digits than its factorization.

4428108405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4428108405 is about 66544.0335792774. The cubic root of 4428108405 is about 1642.1245028913.

The spelling of 4428108405 in words is "four billion, four hundred twenty-eight million, one hundred eight thousand, four hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 139 153 189 255 315 357 405 417 459 567 595 661 695 765 945 973 1071 1251 1377 1785 1983 2085 2295 2363 2835 2919 3213 3305 3753 4627 4865 5355 5949 6255 6885 7089 8757 9639 9915 11237 11259 11815 13881 14595 16065 16541 17847 18765 21267 23135 26271 29745 33711 35445 41643 43785 48195 49623 53541 56185 56295 63801 69405 78659 78813 82705 89235 91879 101133 106335 124929 131355 148869 168555 191403 208215 235977 248115 267705 275637 303399 319005 374787 393295 394065 446607 459395 505665 624645 643153 707931 744345 826911 910197 957015 1179885 1339821 1378185 1516995 1561943 1873935 1929459 2123793 2233035 2480733 3215765 3539655 4134555 4550985 4685829 5788377 6371379 6699105 7442199 7809715 9647295 10618965 10933601 12403665 14057487 17365131 23429145 28941885 31856895 32800803 37210995 42172461 52095393 54668005 70287435 86825655 98402409 126517383 164004015 210862305 260476965 295207227 492012045 632586915 885621681 1476036135 4428108405