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27414432 = 253295189
BaseRepresentation
bin110100010010…
…0111110100000
31220120210112100
41220210332200
524004230212
62415330400
7452006313
oct150447640
956523470
1027414432
1114524961
129220a00
1358ab176
1438d897a
152617bdc
hex1a24fa0

27414432 has 36 divisors (see below), whose sum is σ = 77960610. Its totient is φ = 9138048.

The previous prime is 27414427. The next prime is 27414451. The reversal of 27414432 is 23441472.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 1648656 = 5076^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 27414396 and 27414405.

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 5 ways as a sum of consecutive naturals, for example, 47307 + ... + 47882.

Almost surely, 227414432 is an apocalyptic number.

It is an amenable number.

27414432 is an abundant number, since it is smaller than the sum of its proper divisors (50546178).

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

27414432 is a wasteful number, since it uses less digits than its factorization.

27414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95205 (or 95194 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 27414432 is about 5235.8792957821. The cubic root of 27414432 is about 301.5271462237.

It can be divided in two parts, 274 and 14432, that added together give a triangular number (14706 = T171).

The spelling of 27414432 in words is "twenty-seven million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 95189 190378 285567 380756 571134 761512 856701 1142268 1523024 1713402 2284536 3046048 3426804 4569072 6853608 9138144 13707216 27414432