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2404842 = 231183439
BaseRepresentation
bin1001001011000111101010
311112011211020
421023013222
51103423332
6123313310
726304126
oct11130752
94464736
102404842
1113a2880
1297b836
136627ab
14468586
1532782c
hex24b1ea

2404842 has 32 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 718320.

The previous prime is 2404823. The next prime is 2404847. The reversal of 2404842 is 2484042.

2404842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2404847) 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 15 ways as a sum of consecutive naturals, for example, 5259 + ... + 5697.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

22404842 is an apocalyptic number.

2404842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2404842 is an abundant number, since it is smaller than the sum of its proper divisors (2917398).

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

2404842 is a wasteful number, since it uses less digits than its factorization.

2404842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2404842 is about 1550.7552998459. The cubic root of 2404842 is about 133.9765682649.

Adding to 2404842 its reverse (2484042), we get a palindrome (4888884).

It can be divided in two parts, 24048 and 42, that added together give a triangular number (24090 = T219).

The spelling of 2404842 in words is "two million, four hundred four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 439 498 878 913 1317 1826 2634 2739 4829 5478 9658 14487 28974 36437 72874 109311 218622 400807 801614 1202421 2404842