Search a number
-
+
4289586420 = 2235729531531
BaseRepresentation
bin1111111110101101…
…1110010011110100
3102001221121120100010
43333223132103310
532241113231140
61545352420220
7211204611600
oct37753362364
912057546303
104289586420
1119013a5849
129b86a7670
13534914622
142c99b6500
151a18c8880
hexffade4f4

4289586420 has 144 divisors (see below), whose sum is σ = 13995592128. Its totient is φ = 978808320.

The previous prime is 4289586409. The next prime is 4289586461. The reversal of 4289586420 is 246859824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4289586420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2801055 + ... + 2802585.

It is an arithmetic number, because the mean of its divisors is an integer number (97191612).

Almost surely, 24289586420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4289586420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997796064).

4289586420 is an abundant number, since it is smaller than the sum of its proper divisors (9706005708).

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

4289586420 is a wasteful number, since it uses less digits than its factorization.

4289586420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 4289586420 is about 65494.9343079295. The cubic root of 4289586420 is about 1624.8195675009.

The spelling of 4289586420 in words is "four billion, two hundred eighty-nine million, five hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 953 980 1470 1531 1906 2859 2940 3062 3812 4593 4765 5718 6124 6671 7655 9186 9530 10717 11436 13342 14295 15310 18372 19060 20013 21434 22965 26684 28590 30620 32151 33355 40026 42868 45930 46697 53585 57180 64302 66710 75019 80052 91860 93394 100065 107170 128604 133420 140091 150038 160755 186788 200130 214340 225057 233485 280182 300076 321510 375095 400260 450114 466970 560364 643020 700455 750190 900228 933940 1125285 1400910 1459043 1500380 2250570 2801820 2918086 4377129 4501140 5836172 7295215 8754258 10213301 14590430 17508516 20426602 21885645 29180860 30639903 40853204 43771290 51066505 61279806 71493107 87542580 102133010 122559612 142986214 153199515 204266020 214479321 285972428 306399030 357465535 428958642 612798060 714931070 857917284 1072396605 1429862140 2144793210 4289586420