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42328188 = 223272367109
BaseRepresentation
bin1010000101111…
…0000001111100
32221122111100200
42201132001330
541314000223
64111123500
71022532540
oct241360174
987574320
1042328188
1121990881
1212213590
138a00486
14589ba20
153ab1a43
hex285e07c

42328188 has 144 divisors (see below), whose sum is σ = 130690560. Its totient is φ = 11290752.

The previous prime is 42328183. The next prime is 42328189. The reversal of 42328188 is 88182324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42328183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388278 + ... + 388386.

Almost surely, 242328188 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 42328188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65345280).

42328188 is an abundant number, since it is smaller than the sum of its proper divisors (88362372).

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

42328188 is a wasteful number, since it uses less digits than its factorization.

42328188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 42328188 is about 6506.0116815143. The cubic root of 42328188 is about 348.5057055097.

The spelling of 42328188 in words is "forty-two million, three hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 109 126 134 138 161 201 207 218 252 268 276 322 327 402 414 436 469 483 603 644 654 763 804 828 938 966 981 1206 1308 1407 1449 1526 1541 1876 1932 1962 2289 2412 2507 2814 2898 3052 3082 3924 4221 4578 4623 5014 5628 5796 6164 6867 7303 7521 8442 9156 9246 10028 10787 13734 13869 14606 15042 16884 17549 18492 21574 21909 22563 27468 27738 29212 30084 32361 35098 43148 43818 45126 51121 52647 55476 64722 65727 70196 87636 90252 97083 102242 105294 129444 131454 153363 157941 167969 194166 204484 210588 262908 306726 315882 335938 388332 460089 503907 613452 631764 671876 920178 1007814 1175783 1511721 1840356 2015628 2351566 3023442 3527349 4703132 6046884 7054698 10582047 14109396 21164094 42328188