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27387936 = 253331699
BaseRepresentation
bin110100001111…
…0100000100000
31220112110012000
41220132200200
524002403221
62415004000
7451536132
oct150364040
956473160
1027387936
1114506a64
129209600
13589c0a4
1438cd052
15260ee26
hex1a1e820

27387936 has 48 divisors (see below), whose sum is σ = 79884000. Its totient is φ = 9129024.

The previous prime is 27387907. The next prime is 27387937. The reversal of 27387936 is 63978372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 27387891 and 27387900.

It is not an unprimeable number, because it can be changed into a prime (27387937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14986 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (1664250).

Almost surely, 227387936 is an apocalyptic number.

It is an amenable number.

27387936 is an abundant number, since it is smaller than the sum of its proper divisors (52496064).

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

27387936 is a wasteful number, since it uses less digits than its factorization.

27387936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31718 (or 31704 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27387936 is about 5233.3484500843. The cubic root of 27387936 is about 301.4299730934.

It can be divided in two parts, 273 and 87936, that added together give a square (88209 = 2972).

The spelling of 27387936 in words is "twenty-seven million, three hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 31699 63398 95097 126796 190194 253592 285291 380388 507184 570582 760776 855873 1014368 1141164 1521552 1711746 2282328 3043104 3423492 4564656 6846984 9129312 13693968 27387936