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41433132 = 22313475651
BaseRepresentation
bin1001111000001…
…1100000101100
32212222000120110
42132003200230
541101330012
64040020020
71012114206
oct236034054
985860513
1041433132
112142a364
1211a61610
138778c60
145707776
15398673c
hex278382c

41433132 has 48 divisors (see below), whose sum is σ = 106348032. Its totient is φ = 12475200.

The previous prime is 41433113. The next prime is 41433137. The reversal of 41433132 is 23133414.

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

It is a junction number, because it is equal to n+sod(n) for n = 41433099 and 41433108.

It is not an unprimeable number, because it can be changed into a prime (41433137) by changing a digit.

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, 4507 + ... + 10157.

It is an arithmetic number, because the mean of its divisors is an integer number (2215584).

Almost surely, 241433132 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 41433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53174016).

41433132 is an abundant number, since it is smaller than the sum of its proper divisors (64914900).

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

41433132 is a wasteful number, since it uses less digits than its factorization.

41433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5716 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 41433132 is about 6436.8573077240. The cubic root of 41433132 is about 346.0317277419.

Adding to 41433132 its reverse (23133414), we get a palindrome (64566546).

The spelling of 41433132 in words is "forty-one million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 5651 7332 11302 16953 22604 33906 67812 73463 146926 220389 265597 293852 440778 531194 796791 881556 1062388 1593582 3187164 3452761 6905522 10358283 13811044 20716566 41433132