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26728812 = 223311149151
BaseRepresentation
bin110010111110…
…1100101101100
31212021222001000
41211331211230
523320310222
62352520300
7443122365
oct145754554
955258030
1026728812
11140a6830
128b50090
1356cb086
14379ab6c
15252e9ac
hex197d96c

26728812 has 96 divisors (see below), whose sum is σ = 76608000. Its totient is φ = 7992000.

The previous prime is 26728787. The next prime is 26728831. The reversal of 26728812 is 21882762.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176937 + ... + 177087.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 226728812 is an apocalyptic number.

26728812 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 26728812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

26728812 is an abundant number, since it is smaller than the sum of its proper divisors (49879188).

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

26728812 is a wasteful number, since it uses less digits than its factorization.

26728812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 26728812 is about 5169.9914893547. The cubic root of 26728812 is about 298.9922183782.

The spelling of 26728812 in words is "twenty-six million, seven hundred twenty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 149 151 198 297 298 302 396 447 453 594 596 604 894 906 1188 1341 1359 1639 1661 1788 1812 2682 2718 3278 3322 4023 4077 4917 4983 5364 5436 6556 6644 8046 8154 9834 9966 14751 14949 16092 16308 19668 19932 22499 29502 29898 44253 44847 44998 59004 59796 67497 88506 89694 89996 134994 177012 179388 202491 247489 269988 404982 494978 607473 742467 809964 989956 1214946 1484934 2227401 2429892 2969868 4454802 6682203 8909604 13364406 26728812