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2890245121 = 37214532
BaseRepresentation
bin1010110001000101…
…1010010000000001
321110102111122221121
42230101122100001
521404400320441
61154443552241
7131423451421
oct25421322001
97412448847
102890245121
111253516a35
12687b2b681
13370a3691a
141d5bd6481
1511db13dd1
hexac45a401

2890245121 has 9 divisors (see below), whose sum is σ = 2972516841. Its totient is φ = 2810194992.

The previous prime is 2890245109. The next prime is 2890245133. The reversal of 2890245121 is 1215420982.

The square root of 2890245121 is 53761.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2890245109) and next prime (2890245133).

It can be written as a sum of positive squares in 4 ways, for example, as 2255205121 + 635040000 = 47489^2 + 25200^2 .

It is not a de Polignac number, because 2890245121 - 211 = 2890243073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2890245151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1988431 + ... + 1989883.

It is an arithmetic number, because the mean of its divisors is an integer number (330279649).

Almost surely, 22890245121 is an apocalyptic number.

2890245121 is the 53761-st square number.

2890245121 is the 26881-st centered octagonal number.

It is an amenable number.

2890245121 is a deficient number, since it is larger than the sum of its proper divisors (82271720).

2890245121 is an frugal number, since it uses more digits than its factorization.

2890245121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 2890245121 is about 1424.4423994250.

The spelling of 2890245121 in words is "two billion, eight hundred ninety million, two hundred forty-five thousand, one hundred twenty-one".

Divisors: 1 37 1369 1453 53761 1989157 2111209 78114733 2890245121