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42553300 = 2252425533
BaseRepresentation
bin1010001001010…
…0111111010100
32222001221011011
42202110333110
541343201200
64120022004
71024461046
oct242247724
988057134
1042553300
1122024a19
1212301904
138a7ba8a
145919a96
153b085ba
hex2894fd4

42553300 has 18 divisors (see below), whose sum is σ = 92340878. Its totient is φ = 17021280.

The previous prime is 42553279. The next prime is 42553307. The reversal of 42553300 is 335524.

42553300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 42432196 = 348^2 + 6514^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212667 + ... + 212866.

Almost surely, 242553300 is an apocalyptic number.

It is an amenable number.

42553300 is an abundant number, since it is smaller than the sum of its proper divisors (49787578).

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

42553300 is a wasteful number, since it uses less digits than its factorization.

42553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425547 (or 425540 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 42553300 is about 6523.2890477121. The cubic root of 42553300 is about 349.1224273070.

Adding to 42553300 its reverse (335524), we get a palindrome (42888824).

The spelling of 42553300 in words is "forty-two million, five hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 425533 851066 1702132 2127665 4255330 8510660 10638325 21276650 42553300