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2890144 = 25372441
BaseRepresentation
bin1011000001100110100000
312102211112101
423001212200
51214441034
6141540144
733365035
oct13014640
95384471
102890144
1116a4454
12b74654
137a265a
1455338c
153c1514
hex2c19a0

2890144 has 24 divisors (see below), whose sum is σ = 5846148. Its totient is φ = 1405440.

The previous prime is 2890141. The next prime is 2890183. The reversal of 2890144 is 4410982.

It can be written as a sum of positive squares in 2 ways, for example, as 2890000 + 144 = 1700^2 + 12^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 2404.

22890144 is an apocalyptic number.

It is an amenable number.

2890144 is an abundant number, since it is smaller than the sum of its proper divisors (2956004).

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

2890144 is a wasteful number, since it uses less digits than its factorization.

2890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2890144 is about 1700.0423524136. The cubic root of 2890144 is about 142.4425786910.

The spelling of 2890144 in words is "two million, eight hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 2441 4882 9764 19528 39056 78112 90317 180634 361268 722536 1445072 2890144