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42345200 = 2452105863
BaseRepresentation
bin1010000110001…
…0001011110000
32221200100200202
42201202023300
541320021300
64111334332
71022633252
oct241421360
987610622
1042345200
11219a2637
12122213a8
138a08141
1458a3cd2
153ab6ad5
hex28622f0

42345200 has 30 divisors (see below), whose sum is σ = 101735304. Its totient is φ = 16937920.

The previous prime is 42345197. The next prime is 42345203. The reversal of 42345200 is 254324.

It is an interprime number because it is at equal distance from previous prime (42345197) and next prime (42345203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52532 + ... + 53331.

Almost surely, 242345200 is an apocalyptic number.

42345200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42345200 is an abundant number, since it is smaller than the sum of its proper divisors (59390104).

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

42345200 is a wasteful number, since it uses less digits than its factorization.

42345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105881 (or 105870 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42345200 is about 6507.3189563752. The cubic root of 42345200 is about 348.5523882306.

Adding to 42345200 its reverse (254324), we get a palindrome (42599524).

The spelling of 42345200 in words is "forty-two million, three hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105863 211726 423452 529315 846904 1058630 1693808 2117260 2646575 4234520 5293150 8469040 10586300 21172600 42345200