Search a number
-
+
42164166 = 23114383179
BaseRepresentation
bin1010000011010…
…1111111000110
32221100011100210
42200311333012
541243223131
64103420250
71021250412
oct240657706
987304323
1042164166
1121889620
1212154686
138973915
145857d42
153a7d146
hex2835fc6

42164166 has 64 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 12260640.

The previous prime is 42164149. The next prime is 42164189. The reversal of 42164166 is 66146124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235465 + ... + 235643.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 242164166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42164166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

42164166 is an abundant number, since it is smaller than the sum of its proper divisors (53636154).

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

42164166 is a wasteful number, since it uses less digits than its factorization.

42164166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its digits is 6912, while the sum is 30.

The square root of 42164166 is about 6493.3940277793. The cubic root of 42164166 is about 348.0549688568.

The spelling of 42164166 in words is "forty-two million, one hundred sixty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 43 66 83 86 129 166 179 249 258 358 473 498 537 913 946 1074 1419 1826 1969 2739 2838 3569 3938 5478 5907 7138 7697 10707 11814 14857 15394 21414 23091 29714 39259 44571 46182 78518 84667 89142 117777 163427 169334 235554 254001 326854 490281 508002 638851 980562 1277702 1916553 3833106 7027361 14054722 21082083 42164166