Search a number
-
+
27738536 = 237677393
BaseRepresentation
bin110100111010…
…0000110101000
31221012021010012
41221310012220
524100113121
62430311052
7454526240
oct151640650
957167105
1027738536
1114726411
129358488
135992847
143980b20
15267dc5b
hex1a741a8

27738536 has 32 divisors (see below), whose sum is σ = 60335040. Its totient is φ = 11708928.

The previous prime is 27738523. The next prime is 27738547. The reversal of 27738536 is 63583772.

It is a junction number, because it is equal to n+sod(n) for n = 27738493 and 27738502.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 56 + ... + 7448.

It is an arithmetic number, because the mean of its divisors is an integer number (1885470).

Almost surely, 227738536 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 27738536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167520).

27738536 is an abundant number, since it is smaller than the sum of its proper divisors (32596504).

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

27738536 is a wasteful number, since it uses less digits than its factorization.

27738536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473 (or 7469 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The square root of 27738536 is about 5266.7386492971. The cubic root of 27738536 is about 302.7107508438.

The spelling of 27738536 in words is "twenty-seven million, seven hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 3752 7393 14786 29572 51751 59144 103502 207004 414008 495331 990662 1981324 3467317 3962648 6934634 13869268 27738536