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41448132 = 223311139251
BaseRepresentation
bin1001111000011…
…1001011000100
32212222210011000
42132013023010
541102320012
64040213300
71012206015
oct236071304
985883130
1041448132
112143a660
1211a6a230
138782a2b
14570d00c
15398addc
hex27872c4

41448132 has 96 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 12420000.

The previous prime is 41448131. The next prime is 41448179. The reversal of 41448132 is 23184414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41448096 and 41448105.

It is not an unprimeable number, because it can be changed into a prime (41448131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165007 + ... + 165257.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 241448132 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 41448132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

41448132 is an abundant number, since it is smaller than the sum of its proper divisors (77092668).

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

41448132 is a wasteful number, since it uses less digits than its factorization.

41448132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 41448132 is about 6438.0223671559. The cubic root of 41448132 is about 346.0734805569.

The spelling of 41448132 in words is "forty-one million, four hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 139 198 251 278 297 396 417 502 556 594 753 834 1004 1188 1251 1506 1529 1668 2259 2502 2761 3012 3058 3753 4518 4587 5004 5522 6116 6777 7506 8283 9036 9174 11044 13554 13761 15012 16566 18348 24849 27108 27522 33132 34889 41283 49698 55044 69778 74547 82566 99396 104667 139556 149094 165132 209334 298188 314001 383779 418668 628002 767558 942003 1151337 1256004 1535116 1884006 2302674 3454011 3768012 4605348 6908022 10362033 13816044 20724066 41448132