Search a number
-
+
26000832 = 2631113947
BaseRepresentation
bin110001100101…
…1110111000000
31210220222102210
41203023313000
523124011312
62325142120
7434001114
oct143136700
953828383
1026000832
11137498a0
12885a940
135504910
14364b744
152438e3c
hex18cbdc0

26000832 has 112 divisors (see below), whose sum is σ = 80906112. Its totient is φ = 7265280.

The previous prime is 26000827. The next prime is 26000857. The reversal of 26000832 is 23800062.

It is a junction number, because it is equal to n+sod(n) for n = 26000799 and 26000808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26983 + ... + 27929.

It is an arithmetic number, because the mean of its divisors is an integer number (722376).

Almost surely, 226000832 is an apocalyptic number.

26000832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40453056).

26000832 is an abundant number, since it is smaller than the sum of its proper divisors (54905280).

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

26000832 is a wasteful number, since it uses less digits than its factorization.

26000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26000832 is about 5099.1010972523. The cubic root of 26000832 is about 296.2527668028.

Adding to 26000832 its reverse (23800062), we get a palindrome (49800894).

The spelling of 26000832 in words is "twenty-six million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 947 1056 1144 1248 1716 1894 2112 2288 2496 2841 3432 3788 4576 5682 6864 7576 9152 10417 11364 12311 13728 15152 20834 22728 24622 27456 30304 31251 36933 41668 45456 49244 60608 62502 73866 83336 90912 98488 125004 135421 147732 166672 181824 196976 250008 270842 295464 333344 393952 406263 500016 541684 590928 666688 787904 812526 1000032 1083368 1181856 1625052 2000064 2166736 2363712 3250104 4333472 6500208 8666944 13000416 26000832