Search a number
-
+
2049424 = 241359167
BaseRepresentation
bin111110100010110010000
310212010021121
413310112100
51011040144
6111532024
723263666
oct7642620
93763247
102049424
11117a843
1282a014
13569aa0
143b4c36
152a7384
hex1f4590

2049424 has 40 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 924288.

The previous prime is 2049419. The next prime is 2049427. The reversal of 2049424 is 4249402.

2049424 = T555 + T556 + ... + T567.

It is not an unprimeable number, because it can be changed into a prime (2049427) 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, 12189 + ... + 12355.

It is an arithmetic number, because the mean of its divisors is an integer number (109368).

22049424 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 2049424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

2049424 is an abundant number, since it is smaller than the sum of its proper divisors (2325296).

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

2049424 is a wasteful number, since it uses less digits than its factorization.

2049424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2049424 is about 1431.5809442711. The cubic root of 2049424 is about 127.0215103995.

The spelling of 2049424 in words is "two million, forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 167 208 236 334 472 668 767 944 1336 1534 2171 2672 3068 4342 6136 8684 9853 12272 17368 19706 34736 39412 78824 128089 157648 256178 512356 1024712 2049424