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41272 = 2371167
BaseRepresentation
bin1010000100111000
32002121121
422010320
52310042
6515024
7231220
oct120470
962547
1041272
1129010
121ba74
1315a2a
1411080
15c367
hexa138

41272 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 15840.

The previous prime is 41269. The next prime is 41281. The reversal of 41272 is 27214.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

241272 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 41272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

41272 is an abundant number, since it is smaller than the sum of its proper divisors (56648).

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

41272 is a wasteful number, since it uses less digits than its factorization.

41272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

The product of its digits is 112, while the sum is 16.

The square root of 41272 is about 203.1551131525. The cubic root of 41272 is about 34.5582576568.

Adding to 41272 its reverse (27214), we get a palindrome (68486).

It can be divided in two parts, 412 and 72, that added together give a palindrome (484).

The spelling of 41272 in words is "forty-one thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 67 77 88 134 154 268 308 469 536 616 737 938 1474 1876 2948 3752 5159 5896 10318 20636 41272