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41121024 = 28377649
BaseRepresentation
bin1001110011011…
…1010100000000
32212101011102220
42130313110000
541011333044
64025211040
71006344240
oct234672400
985334386
1041121024
112123691a
1211930a80
138699b89
145665b20
153924019
hex2737500

41121024 has 72 divisors (see below), whose sum is σ = 125092800. Its totient is φ = 11747328.

The previous prime is 41121019. The next prime is 41121037. The reversal of 41121024 is 42012114.

It is a super-2 number, since 2×411210242 = 3381877229617152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41120994 and 41121012.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 9200.

It is an arithmetic number, because the mean of its divisors is an integer number (1737400).

Almost surely, 241121024 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 41121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62546400).

41121024 is an abundant number, since it is smaller than the sum of its proper divisors (83971776).

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

41121024 is an equidigital number, since it uses as much as digits as its factorization.

41121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41121024 is about 6412.5676604618. The cubic root of 41121024 is about 345.1606729021.

Adding to 41121024 its reverse (42012114), we get a palindrome (83133138).

The spelling of 41121024 in words is "forty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 7649 15298 22947 30596 45894 53543 61192 91788 107086 122384 160629 183576 214172 244768 321258 367152 428344 489536 642516 734304 856688 979072 1285032 1468608 1713376 1958144 2570064 2937216 3426752 5140128 5874432 6853504 10280256 13707008 20560512 41121024