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3998084805 = 3351113732837
BaseRepresentation
bin1110111001001101…
…1110111011000101
3101022122002202022000
43232103132323011
531142002203210
61500420455513
7201035105631
oct35623367305
911278082260
103998084805
1117718a6320
12936b4a599
134b9400a70
1429cdb5dc1
15185ee7ac0
hexee4deec5

3998084805 has 128 divisors (see below), whose sum is σ = 8467683840. Its totient is φ = 1764218880.

The previous prime is 3998084777. The next prime is 3998084809. The reversal of 3998084805 is 5084808993.

It is a happy number.

It is not a de Polignac number, because 3998084805 - 25 = 3998084773 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998084809) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1407847 + ... + 1410683.

It is an arithmetic number, because the mean of its divisors is an integer number (66153780).

Almost surely, 23998084805 is an apocalyptic number.

It is an amenable number.

3998084805 is an abundant number, since it is smaller than the sum of its proper divisors (4469599035).

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

3998084805 is a wasteful number, since it uses less digits than its factorization.

3998084805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3998084805 is about 63230.4104446587. The cubic root of 3998084805 is about 1587.1476629766.

The spelling of 3998084805 in words is "three billion, nine hundred ninety-eight million, eighty-four thousand, eight hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 73 99 117 135 143 165 195 219 297 351 365 429 495 585 657 715 803 949 1095 1287 1485 1755 1971 2145 2409 2837 2847 3285 3861 4015 4745 6435 7227 8511 8541 9855 10439 12045 14185 14235 19305 21681 25533 25623 31207 31317 36135 36881 42555 42705 52195 76599 93621 93951 108405 110643 127665 128115 156035 156585 184405 207101 280863 281853 331929 382995 405691 468105 469755 553215 621303 842589 995787 1035505 1217073 1404315 1409265 1659645 1863909 2028455 2278111 2692313 3106515 3651219 4212945 4978935 5591727 6085365 6834333 8076939 9319545 10953657 11390555 13461565 18256095 20502999 24230817 27958635 29615443 34171665 40384695 54768285 61508997 72692451 88846329 102514995 121154085 148077215 266538987 307544985 363462255 444231645 799616961 1332694935 3998084805