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41227328 = 262997229
BaseRepresentation
bin1001110101000…
…1010001000000
32212120120021002
42131101101000
541023233303
64031351132
71010266202
oct235212100
985516232
1041227328
11212a977a
12119824a8
13870638c
145692772
153945788
hex2751440

41227328 has 56 divisors (see below), whose sum is σ = 85877400. Its totient is φ = 19611648.

The previous prime is 41227327. The next prime is 41227331. The reversal of 41227328 is 82372214.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 26543104 = 3832^2 + 5152^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 41227328.

It is not an unprimeable number, because it can be changed into a prime (41227327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179918 + ... + 180146.

It is an arithmetic number, because the mean of its divisors is an integer number (1533525).

Almost surely, 241227328 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 41227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42938700).

41227328 is an abundant number, since it is smaller than the sum of its proper divisors (44650072).

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

41227328 is a wasteful number, since it uses less digits than its factorization.

41227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 41227328 is about 6420.8510339362. The cubic root of 41227328 is about 345.4578476307.

It can be divided in two parts, 4122 and 7328, that multiplied together give a square (30206016 = 54962).

The spelling of 41227328 in words is "forty-one million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 194 229 232 388 458 464 776 916 928 1552 1832 1856 2813 3104 3664 5626 6208 6641 7328 11252 13282 14656 22213 22504 26564 44426 45008 53128 88852 90016 106256 177704 180032 212512 355408 425024 644177 710816 1288354 1421632 2576708 5153416 10306832 20613664 41227328