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27284076 = 223219113353
BaseRepresentation
bin110100000010…
…1001001101100
31220100011201100
41220011021230
523441042301
62412443100
7450624261
oct150051154
956304640
1027284076
1114445a26
129179490
135863a31
1438a3268
1525de286
hex1a0526c

27284076 has 72 divisors (see below), whose sum is σ = 73447920. Its totient is φ = 8515584.

The previous prime is 27284069. The next prime is 27284113. The reversal of 27284076 is 67048272.

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 self number, because there is not a number n which added to its sum of digits gives 27284076.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77116 + ... + 77468.

It is an arithmetic number, because the mean of its divisors is an integer number (1020110).

Almost surely, 227284076 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 27284076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36723960).

27284076 is an abundant number, since it is smaller than the sum of its proper divisors (46163844).

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

27284076 is a wasteful number, since it uses less digits than its factorization.

27284076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27284076 is about 5223.4161235728. The cubic root of 27284076 is about 301.0484648031.

It can be divided in two parts, 272 and 84076, that added together give a palindrome (84348).

The spelling of 27284076 in words is "twenty-seven million, two hundred eighty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 353 452 678 684 706 1017 1059 1356 1412 2034 2118 2147 3177 4068 4236 4294 6354 6441 6707 8588 12708 12882 13414 19323 20121 25764 26828 38646 39889 40242 60363 77292 79778 80484 119667 120726 159556 239334 241452 359001 478668 718002 757891 1436004 1515782 2273673 3031564 4547346 6821019 9094692 13642038 27284076