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42707028 = 223721337151
BaseRepresentation
bin1010001011101…
…0100001010100
32222100202000210
42202322201110
541413111103
64123205420
71026001200
oct242724124
988322023
1042707028
112211a471
1212376870
138b03a40
145959b00
153b38e03
hex28ba854

42707028 has 144 divisors (see below), whose sum is σ = 129058944. Its totient is φ = 10886400.

The previous prime is 42707011. The next prime is 42707047. The reversal of 42707028 is 82070724.

It is a junction number, because it is equal to n+sod(n) for n = 42706986 and 42707004.

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 47 ways as a sum of consecutive naturals, for example, 282753 + ... + 282903.

Almost surely, 242707028 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 42707028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64529472).

42707028 is an abundant number, since it is smaller than the sum of its proper divisors (86351916).

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

42707028 is a wasteful number, since it uses less digits than its factorization.

42707028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 42707028 is about 6535.0614381198. The cubic root of 42707028 is about 349.5423351453.

The spelling of 42707028 in words is "forty-two million, seven hundred seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 151 156 182 196 222 259 273 294 302 364 444 453 481 518 546 588 604 637 777 906 962 1036 1057 1092 1274 1443 1554 1812 1813 1911 1924 1963 2114 2548 2886 3108 3171 3367 3626 3822 3926 4228 5439 5587 5772 5889 6342 6734 7252 7399 7644 7852 10101 10878 11174 11778 12684 13468 13741 14798 16761 20202 21756 22197 22348 23556 23569 27482 29596 33522 39109 40404 41223 44394 47138 54964 67044 70707 72631 78218 82446 88788 94276 96187 117327 141414 145262 156436 164892 192374 217893 234654 273763 282828 288561 290524 384748 435786 469308 508417 547526 577122 821289 871572 1016834 1095052 1154244 1525251 1642578 2033668 3050502 3285156 3558919 6101004 7117838 10676757 14235676 21353514 42707028