Search a number
-
+
41271400 = 2352434799
BaseRepresentation
bin1001110101110…
…0000001101000
32212122210201101
42131130001220
541031141100
64032331144
71010541532
oct235340150
985583641
1041271400
11213298a5
12119a3ab4
138720461
1456a4852
15395386a
hex275c068

41271400 has 48 divisors (see below), whose sum is σ = 98208000. Its totient is φ = 16121280.

The previous prime is 41271367. The next prime is 41271413. The reversal of 41271400 is 417214.

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 11 ways as a sum of consecutive naturals, for example, 6201 + ... + 10999.

It is an arithmetic number, because the mean of its divisors is an integer number (2046000).

Almost surely, 241271400 is an apocalyptic number.

41271400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49104000).

41271400 is an abundant number, since it is smaller than the sum of its proper divisors (56936600).

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

41271400 is a wasteful number, since it uses less digits than its factorization.

41271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 41271400 is about 6424.2820610555. The cubic root of 41271400 is about 345.5809019010.

Adding to 41271400 its reverse (417214), we get a palindrome (41688614).

It can be divided in two parts, 41 and 271400, that added together give a square (271441 = 5212).

The spelling of 41271400 in words is "forty-one million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 4799 8600 9598 19196 23995 38392 47990 95980 119975 191960 206357 239950 412714 479900 825428 959800 1031785 1650856 2063570 4127140 5158925 8254280 10317850 20635700 41271400