Search a number
-
+
26160948 = 22331119261
BaseRepresentation
bin110001111001…
…0111100110100
31211020010002000
41203302330310
523144122243
62332415300
7435235662
oct143627464
954203060
1026160948
1113849120
128917530
13555c768
14368dc32
15246b5d3
hex18f2f34

26160948 has 144 divisors (see below), whose sum is σ = 79369920. Its totient is φ = 7387200.

The previous prime is 26160947. The next prime is 26160989. The reversal of 26160948 is 84906162.

26160948 is a `hidden beast` number, since 2 + 6 + 1 + 609 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26160947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428838 + ... + 428898.

It is an arithmetic number, because the mean of its divisors is an integer number (551180).

Almost surely, 226160948 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 26160948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39684960).

26160948 is an abundant number, since it is smaller than the sum of its proper divisors (53208972).

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

26160948 is a wasteful number, since it uses less digits than its factorization.

26160948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26160948 is about 5114.7774145118. Note that the first 3 decimals coincide. The cubic root of 26160948 is about 296.8596418722.

The spelling of 26160948 in words is "twenty-six million, one hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 61 66 76 99 108 114 122 132 171 183 198 209 228 244 297 342 361 366 396 418 513 549 594 627 671 684 722 732 836 1026 1083 1098 1159 1188 1254 1342 1444 1647 1881 2013 2052 2166 2196 2318 2508 2684 3249 3294 3477 3762 3971 4026 4332 4636 5643 6039 6498 6588 6954 7524 7942 8052 9747 10431 11286 11913 12078 12749 12996 13908 15884 18117 19494 20862 22021 22572 23826 24156 25498 31293 35739 36234 38247 38988 41724 44042 47652 50996 62586 66063 71478 72468 76494 88084 107217 114741 125172 132126 142956 152988 198189 214434 229482 242231 264252 344223 396378 428868 458964 484462 594567 688446 726693 792756 968924 1189134 1376892 1453386 2180079 2378268 2906772 4360158 6540237 8720316 13080474 26160948