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26000016 = 2437223347
BaseRepresentation
bin110001100101…
…1101010010000
31210220221022120
41203023222100
523124000031
62325134240
7433665540
oct143135220
953827276
1026000016
1113749219
12885a380
135504433
14364b320
152438a96
hex18cba90

26000016 has 80 divisors (see below), whose sum is σ = 77328384. Its totient is φ = 7373952.

The previous prime is 26000003. The next prime is 26000017. The reversal of 26000016 is 61000062.

26000016 = 2232 + 2242 + ... + 4462.

It is a junction number, because it is equal to n+sod(n) for n = 25999959 and 26000004.

It is not an unprimeable number, because it can be changed into a prime (26000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74755 + ... + 75101.

Almost surely, 226000016 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 26000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38664192).

26000016 is an abundant number, since it is smaller than the sum of its proper divisors (51328368).

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

26000016 is a wasteful number, since it uses less digits than its factorization.

26000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 26000016 is about 5099.0210825216. The cubic root of 26000016 is about 296.2496676099.

Adding to 26000016 its reverse (61000062), we get a palindrome (87000078).

The spelling of 26000016 in words is "twenty-six million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 223 336 347 446 669 694 892 1041 1338 1388 1561 1784 2082 2429 2676 2776 3122 3568 4164 4683 4858 5352 5552 6244 7287 8328 9366 9716 10704 12488 14574 16656 18732 19432 24976 29148 37464 38864 58296 74928 77381 116592 154762 232143 309524 464286 541667 619048 928572 1083334 1238096 1625001 1857144 2166668 3250002 3714288 4333336 6500004 8666672 13000008 26000016