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2890448 = 241121493
BaseRepresentation
bin1011000001101011010000
312102211221122
423001223100
51214443243
6141541412
733365651
oct13015320
95384848
102890448
1116a4700
12b74868
137a2832
14553528
153c1668
hex2c1ad0

2890448 has 30 divisors (see below), whose sum is σ = 6159762. Its totient is φ = 1312960.

The previous prime is 2890441. The next prime is 2890457. The reversal of 2890448 is 8440982.

It can be written as a sum of positive squares in only one way, i.e., 2795584 + 94864 = 1672^2 + 308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1190 + ... + 2682.

22890448 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 2890448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079881).

2890448 is an abundant number, since it is smaller than the sum of its proper divisors (3269314).

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

2890448 is a wasteful number, since it uses less digits than its factorization.

2890448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2890448 is about 1700.1317595998. The cubic root of 2890448 is about 142.4475727935.

The spelling of 2890448 in words is "two million, eight hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1493 1936 2986 5972 11944 16423 23888 32846 65692 131384 180653 262768 361306 722612 1445224 2890448