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42938052 = 22313812591
BaseRepresentation
bin1010001111001…
…0111011000100
32222210110221020
42203302323010
541443004202
64132151140
71030652553
oct243627304
988713836
1042938052
1122267aa3
12124684b0
138b84c41
1459b9d9a
153b825bc
hex28f2ec4

42938052 has 24 divisors (see below), whose sum is σ = 100300032. Its totient is φ = 14296800.

The previous prime is 42938041. The next prime is 42938059. The reversal of 42938052 is 25083924.

It is a happy number.

42938052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42938059) 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 7 ways as a sum of consecutive naturals, for example, 15277 + ... + 17867.

It is an arithmetic number, because the mean of its divisors is an integer number (4179168).

Almost surely, 242938052 is an apocalyptic number.

It is an amenable number.

42938052 is an abundant number, since it is smaller than the sum of its proper divisors (57361980).

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

42938052 is a wasteful number, since it uses less digits than its factorization.

42938052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 42938052 is about 6552.7133311324. The cubic root of 42938052 is about 350.1714860330.

The spelling of 42938052 in words is "forty-two million, nine hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 12 1381 2591 2762 4143 5182 5524 7773 8286 10364 15546 16572 31092 3578171 7156342 10734513 14312684 21469026 42938052