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42028337 = 13232937131
BaseRepresentation
bin1010000001010…
…0110100110001
32221002021001002
42200110310301
541224401322
64100451345
71020143411
oct240246461
987067032
1042028337
11217a656a
12120a9b55
138926b50
145820641
153a52c92
hex2814d31

42028337 has 32 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 34594560.

The previous prime is 42028333. The next prime is 42028339. The reversal of 42028337 is 73382024.

It is not a de Polignac number, because 42028337 - 22 = 42028333 is a prime.

It is a super-2 number, since 2×420283372 = 3532762221971138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42028331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320762 + ... + 320892.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 242028337 is an apocalyptic number.

It is an amenable number.

42028337 is a deficient number, since it is larger than the sum of its proper divisors (8532943).

42028337 is a wasteful number, since it uses less digits than its factorization.

42028337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 42028337 is about 6482.9265767861. The cubic root of 42028337 is about 347.6808216497.

42028337 divided by its sum of digits (29) gives a triangular number (1449253 = T1702).

The spelling of 42028337 in words is "forty-two million, twenty-eight thousand, three hundred thirty-seven".

Divisors: 1 13 23 29 37 131 299 377 481 667 851 1073 1703 3013 3799 4847 8671 11063 13949 24679 39169 49387 63011 87377 111481 140563 320827 1135901 1449253 1827319 3232949 42028337