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2889239920 = 24573711483
BaseRepresentation
bin1010110000110110…
…0100110101110000
321110100121121001221
42230031210311300
521404121134140
61154410234424
7131412064000
oct25415446560
97410547057
102889239920
11125299a796
12687725a14
13370774228
141d5a14000
1511d9b614a
hexac364d70

2889239920 has 160 divisors (see below), whose sum is σ = 7949491200. Its totient is φ = 975985920.

The previous prime is 2889239911. The next prime is 2889239923. The reversal of 2889239920 is 299329882.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889239923) 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, 1947499 + ... + 1948981.

It is an arithmetic number, because the mean of its divisors is an integer number (49684320).

Almost surely, 22889239920 is an apocalyptic number.

2889239920 is a gapful number since it is divisible by the number (20) 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 2889239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974745600).

2889239920 is an abundant number, since it is smaller than the sum of its proper divisors (5060251280).

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

2889239920 is a wasteful number, since it uses less digits than its factorization.

2889239920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 2889239920 is about 53751.6503932670. The cubic root of 2889239920 is about 1424.2772442344.

The spelling of 2889239920 in words is "two billion, eight hundred eighty-nine million, two hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 71 80 98 112 140 142 196 245 280 284 343 355 392 490 497 560 568 686 710 784 980 994 1136 1372 1420 1483 1715 1960 1988 2485 2744 2840 2966 3430 3479 3920 3976 4970 5488 5680 5932 6860 6958 7415 7952 9940 10381 11864 13720 13916 14830 17395 19880 20762 23728 24353 27440 27832 29660 34790 39760 41524 48706 51905 55664 59320 69580 72667 83048 97412 103810 105293 118640 121765 139160 145334 166096 194824 207620 210586 243530 278320 290668 363335 389648 415240 421172 487060 508669 526465 581336 726670 737051 830480 842344 974120 1017338 1052930 1162672 1453340 1474102 1684688 1948240 2034676 2105860 2543345 2906680 2948204 3685255 4069352 4211720 5086690 5159357 5813360 5896408 7370510 8138704 8423440 10173380 10318714 11792816 14741020 20346760 20637428 25796785 29482040 36115499 40693520 41274856 51593570 58964080 72230998 82549712 103187140 144461996 180577495 206374280 288923992 361154990 412748560 577847984 722309980 1444619960 2889239920