Search a number
-
+
41272374 = 23112134373
BaseRepresentation
bin1001110101110…
…0010000110110
32212122212001110
42131130100312
541031203444
64032335450
71010544423
oct235342066
985585043
1041272374
112132a600
12119a4586
138720a30
1456a4d4a
153953cb9
hex275c436

41272374 has 48 divisors (see below), whose sum is σ = 97732656. Its totient is φ = 11542080.

The previous prime is 41272369. The next prime is 41272381. The reversal of 41272374 is 47327214.

41272374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7252 + ... + 11624.

It is an arithmetic number, because the mean of its divisors is an integer number (2036097).

Almost surely, 241272374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41272374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48866328).

41272374 is an abundant number, since it is smaller than the sum of its proper divisors (56460282).

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

41272374 is a wasteful number, since it uses less digits than its factorization.

41272374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4402 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 41272374 is about 6424.3578667443. The cubic root of 41272374 is about 345.5836204353.

Adding to 41272374 its reverse (47327214), we get a palindrome (88599588).

The spelling of 41272374 in words is "forty-one million, two hundred seventy-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4373 4719 8746 9438 13119 26238 48103 56849 96206 113698 144309 170547 288618 341094 529133 625339 1058266 1250678 1587399 1876017 3174798 3752034 6878729 13757458 20636187 41272374