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2428542 = 23519263
BaseRepresentation
bin1001010000111001111110
311120101100000
421100321332
51110203132
6124015130
726433204
oct11207176
94511300
102428542
111409666
129914a6
1367050c
14473074
1532e87c
hex250e7e

2428542 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 763992.

The previous prime is 2428541. The next prime is 2428577. The reversal of 2428542 is 2458242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9103 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

22428542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2428542 is an abundant number, since it is smaller than the sum of its proper divisors (3337218).

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

2428542 is a wasteful number, since it uses less digits than its factorization.

2428542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2428542 is about 1558.3780029248. The cubic root of 2428542 is about 134.4152485888.

The spelling of 2428542 in words is "two million, four hundred twenty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 263 342 486 513 526 789 1026 1539 1578 2367 3078 4617 4734 4997 7101 9234 9994 14202 14991 21303 29982 42606 44973 63909 89946 127818 134919 269838 404757 809514 1214271 2428542