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41228772 = 223131272081
BaseRepresentation
bin1001110101000…
…1100111100100
32212120122020120
42131101213210
541023310042
64031401540
71010303334
oct235214744
985518216
1041228772
11212aa872
12119832b0
138706c30
1456930c4
153945dec
hex27519e4

41228772 has 48 divisors (see below), whose sum is σ = 104466432. Its totient is φ = 12579840.

The previous prime is 41228743. The next prime is 41228797. The reversal of 41228772 is 27782214.

41228772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 18772 + ... + 20852.

It is an arithmetic number, because the mean of its divisors is an integer number (2176384).

Almost surely, 241228772 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 41228772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52233216).

41228772 is an abundant number, since it is smaller than the sum of its proper divisors (63237660).

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

41228772 is a wasteful number, since it uses less digits than its factorization.

41228772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 41228772 is about 6420.9634791050. The cubic root of 41228772 is about 345.4618808398.

The spelling of 41228772 in words is "forty-one million, two hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 2081 3302 4162 4953 6243 6604 8324 9906 12486 19812 24972 27053 54106 81159 108212 162318 264287 324636 528574 792861 1057148 1585722 3171444 3435731 6871462 10307193 13742924 20614386 41228772