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3873808422 = 2331131712963
BaseRepresentation
bin1110011011100101…
…1010000000100110
3100222222020212011000
43212321122000212
530413143332142
61440221054130
7164665554051
oct34671320046
910888225130
103873808422
111708733670
129013b7346
1349973a543
1428a6a5a98
1517a14a14c
hexe6e5a026

3873808422 has 128 divisors (see below), whose sum is σ = 9833840640. Its totient is φ = 1119636000.

The previous prime is 3873808403. The next prime is 3873808447. The reversal of 3873808422 is 2248083783.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1305913 + ... + 1308875.

It is an arithmetic number, because the mean of its divisors is an integer number (76826880).

Almost surely, 23873808422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3873808422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916920320).

3873808422 is an abundant number, since it is smaller than the sum of its proper divisors (5960032218).

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

3873808422 is a wasteful number, since it uses less digits than its factorization.

3873808422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3873808422 is about 62239.9262692365. The cubic root of 3873808422 is about 1570.5293118377.

The spelling of 3873808422 in words is "three billion, eight hundred seventy-three million, eight hundred eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 71 93 99 142 186 198 213 279 297 341 426 558 594 639 682 781 837 1023 1278 1562 1674 1917 2046 2201 2343 2963 3069 3834 4402 4686 5926 6138 6603 7029 8889 9207 13206 14058 17778 18414 19809 21087 24211 26667 32593 39618 42174 48422 53334 59427 65186 72633 80001 91853 97779 118854 145266 160002 183706 195558 210373 217899 275559 293337 420746 435798 551118 586674 631119 653697 826677 880011 1010383 1262238 1307394 1653354 1760022 1893357 2020766 2314103 2480031 3031149 3786714 4628206 4960062 5680071 6062298 6521563 6942309 9093447 11360142 13043126 13884618 18186894 19564689 20826927 27280341 39129378 41653854 54560682 58694067 62480781 71737193 117388134 124961562 143474386 176082201 215211579 352164402 430423158 645634737 1291269474 1936904211 3873808422