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41132364 = 22372135381
BaseRepresentation
bin1001110011101…
…0000101001100
32212101201222220
42130322011030
541012213424
64025335340
71006422300
oct234720514
985351886
1041132364
1121244399
1211937550
1386a20a0
145669d00
153927579
hex273a14c

41132364 has 72 divisors (see below), whose sum is σ = 120255408. Its totient is φ = 10846080.

The previous prime is 41132347. The next prime is 41132369. The reversal of 41132364 is 46323114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4954 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (1670214).

Almost surely, 241132364 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 41132364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60127704).

41132364 is an abundant number, since it is smaller than the sum of its proper divisors (79123044).

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

41132364 is a wasteful number, since it uses less digits than its factorization.

41132364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5406 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 41132364 is about 6413.4518007076. The cubic root of 41132364 is about 345.1923984600.

Adding to 41132364 its reverse (46323114), we get a palindrome (87455478).

The spelling of 41132364 in words is "forty-one million, one hundred thirty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 5381 7644 10762 16143 21524 32286 37667 64572 69953 75334 113001 139906 150668 209859 226002 263669 279812 419718 452004 489671 527338 791007 839436 979342 1054676 1469013 1582014 1958684 2938026 3164028 3427697 5876052 6855394 10283091 13710788 20566182 41132364