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41228328 = 23319233931
BaseRepresentation
bin1001110101000…
…1100000101000
32212120121122010
42131101200220
541023301303
64031355520
71010302131
oct235214050
985517563
1041228328
11212aa4a9
1211982ba0
13870697b
145692c88
153945c03
hex2751828

41228328 has 64 divisors (see below), whose sum is σ = 113241600. Its totient is φ = 12450240.

The previous prime is 41228321. The next prime is 41228333. The reversal of 41228328 is 82382214.

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 = 41228295 and 41228304.

It is not an unprimeable number, because it can be changed into a prime (41228321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8523 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (1769400).

Almost surely, 241228328 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 41228328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56620800).

41228328 is an abundant number, since it is smaller than the sum of its proper divisors (72013272).

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

41228328 is a wasteful number, since it uses less digits than its factorization.

41228328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3978 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 41228328 is about 6420.9289047614. The cubic root of 41228328 is about 345.4606407218.

The spelling of 41228328 in words is "forty-one million, two hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 3931 5244 7862 10488 11793 15724 23586 31448 47172 74689 90413 94344 149378 180826 224067 271239 298756 361652 448134 542478 597512 723304 896268 1084956 1717847 1792536 2169912 3435694 5153541 6871388 10307082 13742776 20614164 41228328