Search a number
-
+
3986789880 = 2335731992287
BaseRepresentation
bin1110110110100001…
…1001010111111000
3101021211211220120110
43231220121113320
531131104234010
61455334424320
7200540104053
oct35550312770
911254756513
103986789880
111766491277
129332020a0
134b6c77988
1429b6b5a9a
15185016120
hexeda195f8

3986789880 has 128 divisors (see below), whose sum is σ = 12190464000. Its totient is φ = 1042854912.

The previous prime is 3986789861. The next prime is 3986789887. The reversal of 3986789880 is 889876893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986789887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742097 + ... + 1744383.

It is an arithmetic number, because the mean of its divisors is an integer number (95238000).

Almost surely, 23986789880 is an apocalyptic number.

3986789880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3986789880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095232000).

3986789880 is an abundant number, since it is smaller than the sum of its proper divisors (8203674120).

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

3986789880 is a wasteful number, since it uses less digits than its factorization.

3986789880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The square root of 3986789880 is about 63141.0316672130. The cubic root of 3986789880 is about 1585.6516448640.

The spelling of 3986789880 in words is "three billion, nine hundred eighty-six million, seven hundred eighty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 199 219 292 365 398 438 584 597 730 796 876 995 1095 1194 1460 1592 1752 1990 2190 2287 2388 2920 2985 3980 4380 4574 4776 5970 6861 7960 8760 9148 11435 11940 13722 14527 18296 22870 23880 27444 29054 34305 43581 45740 54888 58108 68610 72635 87162 91480 116216 137220 145270 166951 174324 217905 274440 290540 333902 348648 435810 455113 500853 581080 667804 834755 871620 910226 1001706 1335608 1365339 1669510 1743240 1820452 2003412 2275565 2504265 2730678 3339020 3640904 4006824 4551130 5008530 5461356 6678040 6826695 9102260 10017060 10922712 13653390 18204520 20034120 27306780 33223249 54613560 66446498 99669747 132892996 166116245 199339494 265785992 332232490 398678988 498348735 664464980 797357976 996697470 1328929960 1993394940 3986789880