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27845412 = 22371973239
BaseRepresentation
bin110101000111…
…0001100100100
31221101200201120
41222032030210
524112023122
62432453540
7455452650
oct152161444
957350646
1027845412
1114799741
1293aa2b0
1359cc39a
1439aba60
1526a075c
hex1a8e324

27845412 has 96 divisors (see below), whose sum is σ = 79564800. Its totient is φ = 7402752.

The previous prime is 27845407. The next prime is 27845429. The reversal of 27845412 is 21454872.

27845412 is nontrivially palindromic in base 11.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116389 + ... + 116627.

It is an arithmetic number, because the mean of its divisors is an integer number (828800).

Almost surely, 227845412 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 27845412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782400).

27845412 is an abundant number, since it is smaller than the sum of its proper divisors (51719388).

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

27845412 is a wasteful number, since it uses less digits than its factorization.

27845412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 27845412 is about 5276.8752117138. The cubic root of 27845412 is about 303.0990319909.

The spelling of 27845412 in words is "twenty-seven million, eight hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 73 76 84 114 133 146 219 228 239 266 292 399 438 478 511 532 717 798 876 956 1022 1387 1434 1533 1596 1673 2044 2774 2868 3066 3346 4161 4541 5019 5548 6132 6692 8322 9082 9709 10038 13623 16644 17447 18164 19418 20076 27246 29127 31787 34894 38836 52341 54492 58254 63574 69788 95361 104682 116508 122129 127148 190722 209364 244258 331493 366387 381444 488516 662986 732774 994479 1325972 1465548 1988958 2320451 3977916 4640902 6961353 9281804 13922706 27845412