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42791166 = 2341123759
BaseRepresentation
bin1010001100111…
…1000011111110
32222112000110000
42203033003332
541423304131
64125055130
71026501405
oct243170376
988460400
1042791166
1122177700
12123b74a6
138b33122
14597c63c
153b53ce6
hex28cf0fe

42791166 has 120 divisors (see below), whose sum is σ = 110076120. Its totient is φ = 12402720.

The previous prime is 42791137. The next prime is 42791183. The reversal of 42791166 is 66119724.

Its product of digits (18144) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 42791166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 725245 + ... + 725303.

It is an arithmetic number, because the mean of its divisors is an integer number (917301).

Almost surely, 242791166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42791166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55038060).

42791166 is an abundant number, since it is smaller than the sum of its proper divisors (67284954).

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

42791166 is a wasteful number, since it uses less digits than its factorization.

42791166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 42791166 is about 6541.4957005260. The cubic root of 42791166 is about 349.7717314286.

It can be divided in two parts, 4279 and 1166, that added together give a palindrome (5445).

The spelling of 42791166 in words is "forty-two million, seven hundred ninety-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 59 66 74 81 99 111 118 121 162 177 198 222 242 297 333 354 363 407 531 594 649 666 726 814 891 999 1062 1089 1221 1298 1593 1782 1947 1998 2178 2183 2442 2997 3186 3267 3663 3894 4366 4477 4779 5841 5994 6534 6549 7139 7326 8954 9558 9801 10989 11682 13098 13431 14278 17523 19602 19647 21417 21978 24013 26862 32967 35046 39294 40293 42834 48026 52569 58941 64251 65934 72039 80586 105138 117882 120879 128502 144078 176823 192753 216117 241758 264143 353646 362637 385506 432234 528286 578259 648351 725274 792429 1156518 1296702 1584858 1945053 2377287 3890106 4754574 7131861 14263722 21395583 42791166