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42119028 = 223473379
BaseRepresentation
bin1010000010101…
…0111101110100
32221020212110000
42200222331310
541240302103
64102431300
71021002000
oct240527564
987225400
1042119028
1121858716
1212132530
138959203
145845700
153a6eaa3
hex282af74

42119028 has 120 divisors (see below), whose sum is σ = 128744000. Its totient is φ = 12002256.

The previous prime is 42119027. The next prime is 42119039. The reversal of 42119028 is 82091124.

42119028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42118992 and 42119010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42119027) 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 39 ways as a sum of consecutive naturals, for example, 110943 + ... + 111321.

Almost surely, 242119028 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 42119028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64372000).

42119028 is an abundant number, since it is smaller than the sum of its proper divisors (86624972).

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

42119028 is a wasteful number, since it uses less digits than its factorization.

42119028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42119028 is about 6489.9174108767. The cubic root of 42119028 is about 347.9307234276.

The spelling of 42119028 in words is "forty-two million, one hundred nineteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 379 441 567 588 686 756 758 882 1029 1134 1137 1323 1372 1516 1764 2058 2268 2274 2646 2653 3087 3411 3969 4116 4548 5292 5306 6174 6822 7938 7959 9261 10233 10612 12348 13644 15876 15918 18522 18571 20466 23877 27783 30699 31836 37044 37142 40932 47754 55566 55713 61398 71631 74284 95508 111132 111426 122796 129997 143262 167139 214893 222852 259994 286524 334278 389991 429786 501417 519988 668556 779982 859572 1002834 1169973 1504251 1559964 2005668 2339946 3008502 3509919 4679892 6017004 7019838 10529757 14039676 21059514 42119028