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4542000 = 24353757
BaseRepresentation
bin10001010100111000110000
322112202110020
4101110320300
52130321000
6241203440
753414661
oct21247060
98482406
104542000
112622521
121630580
13c30498
14863368
155eaba0
hex454e30

4542000 has 80 divisors (see below), whose sum is σ = 14662752. Its totient is φ = 1209600.

The previous prime is 4541989. The next prime is 4542001. The reversal of 4542000 is 2454.

4542000 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4542001) 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, 5622 + ... + 6378.

Almost surely, 24542000 is an apocalyptic number.

4542000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331376).

4542000 is an abundant number, since it is smaller than the sum of its proper divisors (10120752).

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

4542000 is a wasteful number, since it uses less digits than its factorization.

4542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4542000 is about 2131.1968468445. The cubic root of 4542000 is about 165.6084058372.

Adding to 4542000 its reverse (2454), we get a palindrome (4544454).

The spelling of 4542000 in words is "four million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 757 1000 1200 1500 1514 2000 2271 3000 3028 3785 4542 6000 6056 7570 9084 11355 12112 15140 18168 18925 22710 30280 36336 37850 45420 56775 60560 75700 90840 94625 113550 151400 181680 189250 227100 283875 302800 378500 454200 567750 757000 908400 1135500 1514000 2271000 4542000