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42811900 = 22522112029
BaseRepresentation
bin1010001101010…
…0000111111100
32222120001212221
42203110013330
541424440100
64125335124
71026616015
oct243240774
988501787
1042811900
112219123a
12124074a4
138b3c6b1
14598600c
153b5a01a
hex28d41fc

42811900 has 36 divisors (see below), whose sum is σ = 93388120. Its totient is φ = 17035200.

The previous prime is 42811891. The next prime is 42811907. The reversal of 42811900 is 911824.

It is a happy number.

42811900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428119002 = 3665717563220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42811907) 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 11 ways as a sum of consecutive naturals, for example, 20086 + ... + 22114.

Almost surely, 242811900 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 42811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46694060).

42811900 is an abundant number, since it is smaller than the sum of its proper divisors (50576220).

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

42811900 is a wasteful number, since it uses less digits than its factorization.

42811900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 42811900 is about 6543.0803143474. The cubic root of 42811900 is about 349.8282150190.

The spelling of 42811900 in words is "forty-two million, eight hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2029 2110 4058 4220 5275 8116 10145 10550 20290 21100 40580 50725 101450 202900 428119 856238 1712476 2140595 4281190 8562380 10702975 21405950 42811900