Search a number
-
+
26813046 = 23131773277
BaseRepresentation
bin110011001001…
…0001001110110
31212110020120210
41212102021312
523331004141
62354410250
7443623101
oct146221166
955406523
1026813046
1114154047
128b90986
13572a510
1437bd738
152549916
hex1992276

26813046 has 64 divisors (see below), whose sum is σ = 62209728. Its totient is φ = 7630848.

The previous prime is 26813041. The next prime is 26813053. The reversal of 26813046 is 64031862.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26813041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96660 + ... + 96936.

It is an arithmetic number, because the mean of its divisors is an integer number (972027).

Almost surely, 226813046 is an apocalyptic number.

26813046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26813046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104864).

26813046 is an abundant number, since it is smaller than the sum of its proper divisors (35396682).

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

26813046 is a wasteful number, since it uses less digits than its factorization.

26813046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385.

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

The square root of 26813046 is about 5178.1315162904. The cubic root of 26813046 is about 299.3059734397.

The spelling of 26813046 in words is "twenty-six million, eight hundred thirteen thousand, forty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 73 78 102 146 219 221 277 438 442 554 663 831 949 1241 1326 1662 1898 2482 2847 3601 3723 4709 5694 7202 7446 9418 10803 14127 16133 20221 21606 28254 32266 40442 48399 60663 61217 96798 121326 122434 183651 262873 343757 367302 525746 687514 788619 1031271 1577238 2062542 4468841 8937682 13406523 26813046