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27997424 = 2472134167
BaseRepresentation
bin110101011001…
…1010011110000
31221200102020122
41222303103300
524131404144
62440025412
7456655100
oct152632360
957612218
1027997424
1114892974
129462268
135a53630
143a0b200
1526d07ee
hex1ab34f0

27997424 has 120 divisors (see below), whose sum is σ = 70651728. Its totient is φ = 10644480.

The previous prime is 27997421. The next prime is 27997481. The reversal of 27997424 is 42479972.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27997421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417839 + ... + 417905.

Almost surely, 227997424 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 27997424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35325864).

27997424 is an abundant number, since it is smaller than the sum of its proper divisors (42654304).

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

27997424 is a wasteful number, since it uses less digits than its factorization.

27997424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 27997424 is about 5291.2592074099. The cubic root of 27997424 is about 303.6495846958.

The spelling of 27997424 in words is "twenty-seven million, nine hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 49 52 56 67 82 91 98 104 112 134 164 182 196 208 268 287 328 364 392 469 533 536 574 637 656 728 784 871 938 1066 1072 1148 1274 1456 1742 1876 2009 2132 2296 2548 2747 3283 3484 3731 3752 4018 4264 4592 5096 5494 6097 6566 6968 7462 7504 8036 8528 10192 10988 12194 13132 13936 14924 16072 19229 21976 24388 26117 26264 29848 32144 35711 38458 42679 43952 48776 52234 52528 59696 71422 76916 85358 97552 104468 134603 142844 153832 170716 208936 249977 269206 285688 307664 341432 417872 499954 538412 571376 682864 999908 1076824 1749839 1999816 2153648 3499678 3999632 6999356 13998712 27997424