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2890297368 = 233279296173
BaseRepresentation
bin1010110001000110…
…0111000000011000
321110102121022121200
42230101213000120
521404404003433
61154445034200
7131424056640
oct25421470030
97412538550
102890297368
111253552212
12687b55960
13370a5463a
141d5c0b520
1511db24613
hexac467018

2890297368 has 96 divisors (see below), whose sum is σ = 8957239200. Its totient is φ = 824776704.

The previous prime is 2890297351. The next prime is 2890297433. The reversal of 2890297368 is 8637920982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465130 + ... + 471302.

It is an arithmetic number, because the mean of its divisors is an integer number (93304575).

Almost surely, 22890297368 is an apocalyptic number.

2890297368 is a gapful number since it is divisible by the number (28) 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 2890297368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478619600).

2890297368 is an abundant number, since it is smaller than the sum of its proper divisors (6066941832).

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

2890297368 is a wasteful number, since it uses less digits than its factorization.

2890297368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2890297368 is about 53761.4859169648. The cubic root of 2890297368 is about 1424.4509825948.

The spelling of 2890297368 in words is "two billion, eight hundred ninety million, two hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 929 1858 2787 3716 5574 6173 6503 7432 8361 11148 12346 13006 16722 18519 19509 22296 24692 26012 33444 37038 39018 43211 49384 52024 55557 58527 66888 74076 78036 86422 111114 117054 129633 148152 156072 172844 222228 234108 259266 345688 388899 444456 468216 518532 777798 1037064 1555596 3111192 5734717 11469434 17204151 22938868 34408302 40143019 45877736 51612453 68816604 80286038 103224906 120429057 137633208 160572076 206449812 240858114 321144152 361287171 412899624 481716228 722574342 963432456 1445148684 2890297368