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42742200 = 2335271237
BaseRepresentation
bin1010001100001…
…1000110111000
32222102112021110
42203003012320
541420222300
64124040320
71026205554
oct243030670
988375243
1042742200
1122143936
12123930a0
138b16a57
145968864
153b44550
hex28c31b8

42742200 has 48 divisors (see below), whose sum is σ = 132502680. Its totient is φ = 11397760.

The previous prime is 42742169. The next prime is 42742207. The reversal of 42742200 is 224724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742207) 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 11 ways as a sum of consecutive naturals, for example, 35019 + ... + 36218.

Almost surely, 242742200 is an apocalyptic number.

42742200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42742200 is an abundant number, since it is smaller than the sum of its proper divisors (89760480).

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

42742200 is a wasteful number, since it uses less digits than its factorization.

42742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71256 (or 71247 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 42742200 is about 6537.7519071926. The cubic root of 42742200 is about 349.6382657226.

Adding to 42742200 its reverse (224724), we get a palindrome (42966924).

The spelling of 42742200 in words is "forty-two million, seven hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 71237 142474 213711 284948 356185 427422 569896 712370 854844 1068555 1424740 1709688 1780925 2137110 2849480 3561850 4274220 5342775 7123700 8548440 10685550 14247400 21371100 42742200