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41430500 = 2253414347
BaseRepresentation
bin1001111000001…
…0110111100100
32212221212221222
42132002313210
541101234000
64035555512
71012103426
oct236026744
985855858
1041430500
1121428391
1211a5bb98
1387779b7
145706816
153985a85
hex2782de4

41430500 has 96 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 15456000.

The previous prime is 41430497. The next prime is 41430509. The reversal of 41430500 is 503414.

41430500 = T65 + T66 + ... + T628.

41430500 is nontrivially palindromic in base 9.

41430500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41430509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 881477 + ... + 881523.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 241430500 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 41430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

41430500 is an abundant number, since it is smaller than the sum of its proper divisors (55434268).

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

41430500 is a wasteful number, since it uses less digits than its factorization.

41430500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 41430500 is about 6436.6528568814. The cubic root of 41430500 is about 346.0244004755.

Adding to 41430500 its reverse (503414), we get a palindrome (41933914).

The spelling of 41430500 in words is "forty-one million, four hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 43 47 50 82 86 94 100 125 164 172 188 205 215 235 250 410 430 470 500 820 860 940 1025 1075 1175 1763 1927 2021 2050 2150 2350 3526 3854 4042 4100 4300 4700 5125 5375 5875 7052 7708 8084 8815 9635 10105 10250 10750 11750 17630 19270 20210 20500 21500 23500 35260 38540 40420 44075 48175 50525 82861 88150 96350 101050 165722 176300 192700 202100 220375 240875 252625 331444 414305 440750 481750 505250 828610 881500 963500 1010500 1657220 2071525 4143050 8286100 10357625 20715250 41430500