Search a number
-
+
2989888 = 261131137
BaseRepresentation
bin1011011001111101000000
312121220100121
423121331000
51231134023
6144030024
734261606
oct13317500
95556317
102989888
111762390
121002314
13808b85
1457b876
153e0d5d
hex2d9f40

2989888 has 56 divisors (see below), whose sum is σ = 6729984. Its totient is φ = 1305600.

The previous prime is 2989879. The next prime is 2989927. The reversal of 2989888 is 8889892.

2989888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21756 + ... + 21892.

22989888 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 2989888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364992).

2989888 is an abundant number, since it is smaller than the sum of its proper divisors (3740096).

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

2989888 is a wasteful number, since it uses less digits than its factorization.

2989888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 663552, while the sum is 52.

The square root of 2989888 is about 1729.1292606396. The cubic root of 2989888 is about 144.0627298710.

The spelling of 2989888 in words is "two million, nine hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 137 176 248 274 341 352 496 548 682 704 992 1096 1364 1507 1984 2192 2728 3014 4247 4384 5456 6028 8494 8768 10912 12056 16988 21824 24112 33976 46717 48224 67952 93434 96448 135904 186868 271808 373736 747472 1494944 2989888