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2989824 = 28317229
BaseRepresentation
bin1011011001111100000000
312121220021020
423121330000
51231133244
6144025440
734261455
oct13317400
95556236
102989824
111762332
121002280
13808b36
1457b82c
153e0d19
hex2d9f00

2989824 has 72 divisors (see below), whose sum is σ = 8462160. Its totient is φ = 933888.

The previous prime is 2989823. The next prime is 2989849. The reversal of 2989824 is 4289892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12942 + ... + 13170.

It is an arithmetic number, because the mean of its divisors is an integer number (117530).

22989824 is an apocalyptic number.

2989824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231080).

2989824 is an abundant number, since it is smaller than the sum of its proper divisors (5472336).

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

2989824 is a wasteful number, since it uses less digits than its factorization.

2989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 2989824 is about 1729.1107541161. The cubic root of 2989824 is about 144.0617019529.

The spelling of 2989824 in words is "two million, nine hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 229 256 272 384 408 458 544 687 768 816 916 1088 1374 1632 1832 2176 2748 3264 3664 3893 4352 5496 6528 7328 7786 10992 11679 13056 14656 15572 21984 23358 29312 31144 43968 46716 58624 62288 87936 93432 124576 175872 186864 249152 373728 498304 747456 996608 1494912 2989824