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165511242 = 233131912409
BaseRepresentation
bin10011101110110…
…00000001001010
3102112102211202000
421313120001022
5314332324432
624231251430
74046552031
oct1167300112
9375384660
10165511242
1185477056
1247519b76
13283a0160
1417da5718
15e7e557c
hex9dd804a

165511242 has 64 divisors (see below), whose sum is σ = 416976000. Its totient is φ = 48242304.

The previous prime is 165511231. The next prime is 165511267. The reversal of 165511242 is 242115561.

165511242 is a `hidden beast` number, since 1 + 655 + 1 + 1 + 2 + 4 + 2 = 666.

165511242 is digitally balanced in base 3, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7134 + ... + 19542.

It is an arithmetic number, because the mean of its divisors is an integer number (6515250).

Almost surely, 2165511242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165511242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208488000).

165511242 is an abundant number, since it is smaller than the sum of its proper divisors (251464758).

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

165511242 is a wasteful number, since it uses less digits than its factorization.

165511242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12446 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 165511242 is about 12865.1172555869. The cubic root of 165511242 is about 549.0465486525.

The spelling of 165511242 in words is "one hundred sixty-five million, five hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 12409 13338 24818 37227 74454 111681 161317 223362 235771 322634 335043 471542 483951 670086 707313 967902 1414626 1451853 2121939 2903706 3065023 4243878 4355559 6130046 6365817 8711118 9195069 12731634 18390138 27585207 55170414 82755621 165511242