Search a number
-
+
2890303488 = 21132233673
BaseRepresentation
bin1010110001000110…
…1000100000000000
321110102121122000100
42230101220200000
521404404202423
61154445122400
7131424113532
oct25421504000
97412548010
102890303488
111253556876
12687b59400
13370a57367
141d5c0d852
1511db26343
hexac468800

2890303488 has 144 divisors (see below), whose sum is σ = 8396011260. Its totient is φ = 957874176.

The previous prime is 2890303483. The next prime is 2890303499. The reversal of 2890303488 is 8843030982.

It can be written as a sum of positive squares in 2 ways, for example, as 2717328384 + 172975104 = 52128^2 + 13152^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×28903034882 = 16707708505489932288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2890303483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4294320 + ... + 4294992.

Almost surely, 22890303488 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 2890303488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198005630).

2890303488 is an abundant number, since it is smaller than the sum of its proper divisors (5505707772).

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

2890303488 is a wasteful number, since it uses less digits than its factorization.

2890303488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2890303488 is about 53761.5428350043. The cubic root of 2890303488 is about 1424.4519879854.

The spelling of 2890303488 in words is "two billion, eight hundred ninety million, three hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 673 699 768 932 1024 1152 1346 1398 1536 1864 2019 2048 2097 2304 2692 2796 3072 3728 4038 4194 4608 5384 5592 6057 6144 7456 8076 8388 9216 10768 11184 12114 14912 16152 16776 18432 21536 22368 24228 29824 32304 33552 43072 44736 48456 59648 64608 67104 86144 89472 96912 119296 129216 134208 156809 172288 178944 193824 238592 258432 268416 313618 344576 357888 387648 470427 477184 516864 536832 627236 689152 715776 775296 940854 1033728 1073664 1254472 1378304 1411281 1431552 1550592 1881708 2067456 2147328 2508944 2822562 3101184 3763416 4134912 4294656 5017888 5645124 6202368 7526832 10035776 11290248 12404736 15053664 20071552 22580496 30107328 40143104 45160992 60214656 80286208 90321984 120429312 160572416 180643968 240858624 321144832 361287936 481717248 722575872 963434496 1445151744 2890303488