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42371920 = 245529649
BaseRepresentation
bin1010000110100…
…0101101010000
32221201201100101
42201220231100
541321400140
64112102144
71023104203
oct241505520
987651311
1042371920
1121a10718
1212234954
138a17356
1458ad93a
153abe99a
hex2868b50

42371920 has 20 divisors (see below), whose sum is σ = 98514900. Its totient is φ = 16948736.

The previous prime is 42371873. The next prime is 42371941. The reversal of 42371920 is 2917324.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 34951744 = 2724^2 + 5912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264745 + ... + 264904.

It is an arithmetic number, because the mean of its divisors is an integer number (4925745).

Almost surely, 242371920 is an apocalyptic number.

42371920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42371920 is an abundant number, since it is smaller than the sum of its proper divisors (56142980).

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

42371920 is a wasteful number, since it uses less digits than its factorization.

42371920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529662 (or 529656 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 42371920 is about 6509.3717054720. The cubic root of 42371920 is about 348.6256854921.

The spelling of 42371920 in words is "forty-two million, three hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 529649 1059298 2118596 2648245 4237192 5296490 8474384 10592980 21185960 42371920