Search a number
-
+
2890976 = 251143191
BaseRepresentation
bin1011000001110011100000
312102212200012
423001303200
51220002401
6141544052
733400334
oct13016340
95385605
102890976
1116a5040
12b75028
137a2b4a
145537c4
153c18bb
hex2c1ce0

2890976 has 48 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 1276800.

The previous prime is 2890961. The next prime is 2890997. The reversal of 2890976 is 6790982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15041 + ... + 15231.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

22890976 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 2890976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2890976 is an abundant number, since it is smaller than the sum of its proper divisors (3495712).

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

2890976 is a wasteful number, since it uses less digits than its factorization.

2890976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2890976 is about 1700.2870345915. The cubic root of 2890976 is about 142.4562459287.

The spelling of 2890976 in words is "two million, eight hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 191 344 352 382 473 688 764 946 1376 1528 1892 2101 3056 3784 4202 6112 7568 8213 8404 15136 16426 16808 32852 33616 65704 67232 90343 131408 180686 262816 361372 722744 1445488 2890976