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42525444 = 223131012699
BaseRepresentation
bin1010001000111…
…0001100000100
32222000111221110
42202032030010
541341303234
64115245020
71024313613
oct242161404
988014843
1042525444
1122005aa5
12122a9770
138a6c1b0
14590d87a
153b001e9
hex288e304

42525444 has 48 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 12950400.

The previous prime is 42525443. The next prime is 42525481. The reversal of 42525444 is 44452524.

It is not an unprimeable number, because it can be changed into a prime (42525443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14407 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 242525444 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 42525444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

42525444 is an abundant number, since it is smaller than the sum of its proper divisors (65431356).

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

42525444 is a wasteful number, since it uses less digits than its factorization.

42525444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 42525444 is about 6521.1535789306. The cubic root of 42525444 is about 349.0462304967.

Adding to 42525444 its reverse (44452524), we get a palindrome (86977968).

The spelling of 42525444 in words is "forty-two million, five hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 2699 3939 5252 5398 7878 8097 10796 15756 16194 32388 35087 70174 105261 140348 210522 272599 421044 545198 817797 1090396 1635594 3271188 3543787 7087574 10631361 14175148 21262722 42525444