Search a number
-
+
165550044 = 2231123311759
BaseRepresentation
bin10011101111000…
…01011111011100
3102112111210222010
421313201133130
5314340100134
624232151220
74050103122
oct1167413734
9375453863
10165550044
11854a3220
1247538510
13283b4a0a
1417db5912
15e801ce9
hex9de17dc

165550044 has 96 divisors (see below), whose sum is σ = 454164480. Its totient is φ = 46411200.

The previous prime is 165550031. The next prime is 165550051. The reversal of 165550044 is 440055561.

It is a junction number, because it is equal to n+sod(n) for n = 165549993 and 165550020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93237 + ... + 94995.

It is an arithmetic number, because the mean of its divisors is an integer number (4730880).

Almost surely, 2165550044 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 165550044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227082240).

165550044 is an abundant number, since it is smaller than the sum of its proper divisors (288614436).

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

165550044 is a wasteful number, since it uses less digits than its factorization.

165550044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 165550044 is about 12866.6251985515. The cubic root of 165550044 is about 549.0894509539.

The spelling of 165550044 in words is "one hundred sixty-five million, five hundred fifty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 1759 2046 2139 2852 3036 3518 4092 4278 5277 7036 7843 8556 10554 15686 19349 21108 23529 31372 38698 40457 47058 54529 58047 77396 80914 94116 109058 116094 121371 161828 163587 218116 232188 242742 327174 445027 485484 599819 654348 890054 1199638 1254167 1335081 1780108 1799457 2399276 2508334 2670162 3598914 3762501 5016668 5340324 7197828 7525002 13795837 15050004 27591674 41387511 55183348 82775022 165550044