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27442368 = 263315881
BaseRepresentation
bin110100010101…
…1110011000000
31220122012212000
41220223303000
524011123433
62420104000
7452153622
oct150536300
956565760
1027442368
1114543948
129235000
1358baab5
143904c12
152621113
hex1a2bcc0

27442368 has 56 divisors (see below), whose sum is σ = 80680560. Its totient is φ = 9146880.

The previous prime is 27442361. The next prime is 27442391. The reversal of 27442368 is 86324472.

It is a super-2 number, since 2×274423682 = 1506167122894848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27442361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6213 + ... + 9668.

Almost surely, 227442368 is an apocalyptic number.

It is an amenable number.

27442368 is an abundant number, since it is smaller than the sum of its proper divisors (53238192).

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

27442368 is a wasteful number, since it uses less digits than its factorization.

27442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15886 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 27442368 is about 5238.5463632577. The cubic root of 27442368 is about 301.6295327177.

It can be divided in two parts, 27 and 442368, that multiplied together give a square (11943936 = 34562).

The spelling of 27442368 in words is "twenty-seven million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 15881 31762 47643 63524 95286 127048 142929 190572 254096 285858 381144 428787 508192 571716 762288 857574 1016384 1143432 1524576 1715148 2286864 3049152 3430296 4573728 6860592 9147456 13721184 27442368