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2489688 = 2332151229
BaseRepresentation
bin1001011111110101011000
311200111012200
421133311120
51114132223
6125210200
730106365
oct11376530
94614180
102489688
1114505a3
12a00960
136922b6
1448b46c
15342a43
hex25fd58

2489688 has 48 divisors (see below), whose sum is σ = 6817200. Its totient is φ = 820800.

The previous prime is 2489687. The next prime is 2489713. The reversal of 2489688 is 8869842.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2489687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10758 + ... + 10986.

It is an arithmetic number, because the mean of its divisors is an integer number (142025).

22489688 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 2489688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408600).

2489688 is an abundant number, since it is smaller than the sum of its proper divisors (4327512).

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

2489688 is a wasteful number, since it uses less digits than its factorization.

2489688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2489688 is about 1577.8745197258. The cubic root of 2489688 is about 135.5340165047.

It can be divided in two parts, 24 and 89688, that multiplied together give a palindrome (2152512).

The spelling of 2489688 in words is "two million, four hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 229 302 453 458 604 687 906 916 1208 1359 1374 1812 1832 2061 2718 2748 3624 4122 5436 5496 8244 10872 16488 34579 69158 103737 138316 207474 276632 311211 414948 622422 829896 1244844 2489688