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42028404 = 223111911667
BaseRepresentation
bin1010000001010…
…0110101110100
32221002021010120
42200110311310
541224402104
64100451540
71020143535
oct240246564
987067116
1042028404
11217a6620
12120a9bb0
138926ba2
14582068c
153a52cd9
hex2814d74

42028404 has 48 divisors (see below), whose sum is σ = 107606016. Its totient is φ = 12661600.

The previous prime is 42028391. The next prime is 42028433. The reversal of 42028404 is 40482024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24379 + ... + 26045.

It is an arithmetic number, because the mean of its divisors is an integer number (2241792).

Almost surely, 242028404 is an apocalyptic number.

42028404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42028404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53803008).

42028404 is an abundant number, since it is smaller than the sum of its proper divisors (65577612).

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

42028404 is a wasteful number, since it uses less digits than its factorization.

42028404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42028404 is about 6482.9317442034. The cubic root of 42028404 is about 347.6810064029.

The spelling of 42028404 in words is "forty-two million, twenty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 1667 2101 2292 3334 4202 5001 6303 6668 8404 10002 12606 18337 20004 25212 36674 55011 73348 110022 220044 318397 636794 955191 1273588 1910382 3502367 3820764 7004734 10507101 14009468 21014202 42028404