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41252232 = 23374153113
BaseRepresentation
bin1001110101011…
…1010110001000
32212121211102110
42131113112020
541030032412
64032102320
71010431620
oct235272610
985554373
1041252232
112131645a
12119949a0
138714808
14569b880
15394cd3c
hex2757588

41252232 has 128 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 11182080.

The previous prime is 41252231. The next prime is 41252243. The reversal of 41252232 is 23225214.

41252232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41252199 and 41252208.

It is not an unprimeable number, because it can be changed into a prime (41252231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 365008 + ... + 365120.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 241252232 is an apocalyptic number.

41252232 is a gapful number since it is divisible by the number (42) 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 41252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

41252232 is an abundant number, since it is smaller than the sum of its proper divisors (82852728).

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

41252232 is a wasteful number, since it uses less digits than its factorization.

41252232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 41252232 is about 6422.7900479465. The cubic root of 41252232 is about 345.5273933335.

Adding to 41252232 its reverse (23225214), we get a palindrome (64477446).

The spelling of 41252232 in words is "forty-one million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 53 56 82 84 106 113 123 159 164 168 212 226 246 287 318 328 339 371 424 452 492 574 636 678 742 791 861 904 984 1113 1148 1272 1356 1484 1582 1722 2173 2226 2296 2373 2712 2968 3164 3444 4346 4452 4633 4746 5989 6328 6519 6888 8692 8904 9266 9492 11978 13038 13899 15211 17384 17967 18532 18984 23956 26076 27798 30422 32431 35934 37064 41923 45633 47912 52152 55596 60844 64862 71868 83846 91266 97293 111192 121688 125769 129724 143736 167692 182532 194586 245549 251538 259448 335384 365064 389172 491098 503076 736647 778344 982196 1006152 1473294 1718843 1964392 2946588 3437686 5156529 5893176 6875372 10313058 13750744 20626116 41252232