Search a number
-
+
27941144 = 2371167677
BaseRepresentation
bin110101010010…
…1100100011000
31221120120001012
41222211210120
524123104034
62434513052
7456332030
oct152454430
957516035
1027941144
1114854660
129435788
135a33b2a
1439d48c0
1526bdcce
hex1aa5918

27941144 has 64 divisors (see below), whose sum is σ = 66389760. Its totient is φ = 10707840.

The previous prime is 27941129. The next prime is 27941167. The reversal of 27941144 is 44114972.

It is a self number, because there is not a number n which added to its sum of digits gives 27941144.

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 15 ways as a sum of consecutive naturals, for example, 40934 + ... + 41610.

It is an arithmetic number, because the mean of its divisors is an integer number (1037340).

Almost surely, 227941144 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 27941144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194880).

27941144 is an abundant number, since it is smaller than the sum of its proper divisors (38448616).

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

27941144 is a wasteful number, since it uses less digits than its factorization.

27941144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 764 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 27941144 is about 5285.9383272982. The cubic root of 27941144 is about 303.4459842695.

Subtracting 27941144 from its reverse (44114972), we obtain a triangular number (16173828 = T5687).

The spelling of 27941144 in words is "twenty-seven million, nine hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 677 737 938 1354 1474 1876 2708 2948 3752 4739 5159 5416 5896 7447 9478 10318 14894 18956 20636 29788 37912 41272 45359 52129 59576 90718 104258 181436 208516 317513 362872 417032 498949 635026 997898 1270052 1995796 2540104 3492643 3991592 6985286 13970572 27941144