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2890450824 = 233532299923
BaseRepresentation
bin1010110001001000…
…1100011110001000
321110102220010010020
42230102030132020
521404423411244
61154452220440
7131425266222
oct25422143610
97412803106
102890450824
111253647538
1268800a720
13370aa9441
141d5c4b412
1511db54d19
hexac48c788

2890450824 has 64 divisors (see below), whose sum is σ = 7395364800. Its totient is φ = 941081856.

The previous prime is 2890450817. The next prime is 2890450879. The reversal of 2890450824 is 4280540982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286327 + ... + 296249.

It is an arithmetic number, because the mean of its divisors is an integer number (115552575).

Almost surely, 22890450824 is an apocalyptic number.

2890450824 is a gapful number since it is divisible by the number (24) 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 2890450824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697682400).

2890450824 is an abundant number, since it is smaller than the sum of its proper divisors (4504913976).

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

2890450824 is a wasteful number, since it uses less digits than its factorization.

2890450824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2890450824 is about 53762.9130907171. The cubic root of 2890450824 is about 1424.4761918442.

The spelling of 2890450824 in words is "two billion, eight hundred ninety million, four hundred fifty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 229 318 424 458 636 687 916 1272 1374 1832 2748 5496 9923 12137 19846 24274 29769 36411 39692 48548 59538 72822 79384 97096 119076 145644 238152 291288 525919 1051838 1577757 2103676 2272367 3155514 4207352 4544734 6311028 6817101 9089468 12622056 13634202 18178936 27268404 54536808 120435451 240870902 361306353 481741804 722612706 963483608 1445225412 2890450824