Search a number
-
+
165043242 = 232713175927
BaseRepresentation
bin10011101011001…
…01110000101010
3102111120001202200
421311211300222
5314222340432
624213241030
74042562430
oct1165456052
9374501680
10165043242
1185187481
1247333176
1328268130
1417cc2d50
15e751a7c
hex9d65c2a

165043242 has 96 divisors (see below), whose sum is σ = 466083072. Its totient is φ = 40960512.

The previous prime is 165043223. The next prime is 165043271. The reversal of 165043242 is 242340561.

165043242 is a `hidden beast` number, since 1 + 650 + 4 + 3 + 2 + 4 + 2 = 666.

165043242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24883 + ... + 30809.

It is an arithmetic number, because the mean of its divisors is an integer number (4855032).

Almost surely, 2165043242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165043242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233041536).

165043242 is an abundant number, since it is smaller than the sum of its proper divisors (301039830).

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

165043242 is a wasteful number, since it uses less digits than its factorization.

165043242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 165043242 is about 12846.9156609670. The cubic root of 165043242 is about 548.5285649986.

The spelling of 165043242 in words is "one hundred sixty-five million, forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1638 1989 2142 3094 3978 4641 5927 9282 11854 13923 17781 27846 35562 41489 53343 77051 82978 100759 106686 124467 154102 201518 231153 248934 302277 373401 462306 539357 604554 693459 705313 746802 906831 1078714 1309867 1386918 1410626 1618071 1813662 2115939 2619734 3236142 3929601 4231878 4854213 6347817 7859202 9169069 9708426 11788803 12695634 18338138 23577606 27507207 55014414 82521621 165043242