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2008496 = 24779227
BaseRepresentation
bin111101010010110110000
310210001010202
413222112300
51003232441
6111014332
723033450
oct7522660
93701122
102008496
111152016
1280a3a8
13554279
143a3d60
1529a19b
hex1ea5b0

2008496 has 40 divisors (see below), whose sum is σ = 4523520. Its totient is φ = 846144.

The previous prime is 2008493. The next prime is 2008529. The reversal of 2008496 is 6948002.

2008496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008493) by changing a digit.

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, 8735 + ... + 8961.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

22008496 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 2008496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261760).

2008496 is an abundant number, since it is smaller than the sum of its proper divisors (2515024).

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

2008496 is a wasteful number, since it uses less digits than its factorization.

2008496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2008496 is about 1417.2141687127. The cubic root of 2008496 is about 126.1702577834.

The spelling of 2008496 in words is "two million, eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 227 316 454 553 632 908 1106 1264 1589 1816 2212 3178 3632 4424 6356 8848 12712 17933 25424 35866 71732 125531 143464 251062 286928 502124 1004248 2008496