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27426344 = 2311229977
BaseRepresentation
bin110100010011…
…1111000101000
31220121101212112
41220213320220
524010120334
62415501452
7452056121
oct150477050
956541775
1027426344
1114532900
129227888
1358b370a
1438dd048
15261b4ce
hex1a27e28

27426344 has 48 divisors (see below), whose sum is σ = 58533300. Its totient is φ = 12024320.

The previous prime is 27426341. The next prime is 27426349. The reversal of 27426344 is 44362472.

27426344 = T20 + T21 + ... + T547.

It can be written as a sum of positive squares in 2 ways, for example, as 25381444 + 2044900 = 5038^2 + 1430^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27426344.

It is not an unprimeable number, because it can be changed into a prime (27426341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27584 + ... + 28560.

Almost surely, 227426344 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 27426344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29266650).

27426344 is an abundant number, since it is smaller than the sum of its proper divisors (31106956).

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

27426344 is a wasteful number, since it uses less digits than its factorization.

27426344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its digits is 32256, while the sum is 32.

The square root of 27426344 is about 5237.0167080123. The cubic root of 27426344 is about 301.5708126553.

The spelling of 27426344 in words is "twenty-seven million, four hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 484 638 968 977 1276 1954 2552 3509 3908 7018 7816 10747 14036 21494 28072 28333 42988 56666 85976 113332 118217 226664 236434 311663 472868 623326 945736 1246652 2493304 3428293 6856586 13713172 27426344