Search a number
-
+
27929264 = 2411315119
BaseRepresentation
bin110101010001…
…0101010110000
31221112221202012
41222202222300
524122214024
62434342052
7456252266
oct152425260
957487665
1027929264
1114846740
12942a928
135a2b5bc
1439d0436
1526ba50e
hex1aa2ab0

27929264 has 40 divisors (see below), whose sum is σ = 60948480. Its totient is φ = 12283200.

The previous prime is 27929261. The next prime is 27929287. The reversal of 27929264 is 46292972.

It is not an unprimeable number, because it can be changed into a prime (27929261) 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, 2897 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (1523712).

Almost surely, 227929264 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 27929264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474240).

27929264 is an abundant number, since it is smaller than the sum of its proper divisors (33019216).

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

27929264 is a wasteful number, since it uses less digits than its factorization.

27929264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5163 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 27929264 is about 5284.8144716726. The cubic root of 27929264 is about 303.4029718416.

The spelling of 27929264 in words is "twenty-seven million, nine hundred twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5119 5456 10238 20476 40952 56309 81904 112618 158689 225236 317378 450472 634756 900944 1269512 1745579 2539024 3491158 6982316 13964632 27929264