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26672112 = 2433292129
BaseRepresentation
bin110010110111…
…1101111110000
31212012002021000
41211233233300
523312001422
62351402000
7442465155
oct145575760
955162230
1026672112
1114068175
128b23300
1356ab31c
14378422c
15251ccac
hex196fbf0

26672112 has 80 divisors (see below), whose sum is σ = 79236000. Its totient is φ = 8580096.

The previous prime is 26672101. The next prime is 26672207. The reversal of 26672112 is 21127662.

It is a super-2 number, since 2×266721122 = 1422803117081088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11464 + ... + 13592.

It is an arithmetic number, because the mean of its divisors is an integer number (990450).

Almost surely, 226672112 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 26672112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39618000).

26672112 is an abundant number, since it is smaller than the sum of its proper divisors (52563888).

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

26672112 is a wasteful number, since it uses less digits than its factorization.

26672112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 26672112 is about 5164.5050101631. The cubic root of 26672112 is about 298.7806506720.

Adding to 26672112 its reverse (21127662), we get a palindrome (47799774).

The spelling of 26672112 in words is "twenty-six million, six hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 2129 3132 4176 4258 6264 6387 8516 12528 12774 17032 19161 25548 34064 38322 51096 57483 61741 76644 102192 114966 123482 153288 185223 229932 246964 306576 370446 459864 493928 555669 740892 919728 987856 1111338 1481784 1667007 2222676 2963568 3334014 4445352 6668028 8890704 13336056 26672112