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41313400 = 23521729419
BaseRepresentation
bin1001110110011…
…0010001111000
32212201221022221
42131212101320
541034012100
64033253424
71011105142
oct235462170
985657287
1041313400
1121358407
1211a04274
1387365cb
1456b5c92
15396101a
hex2766478

41313400 has 96 divisors (see below), whose sum is σ = 105462000. Its totient is φ = 14981120.

The previous prime is 41313397. The next prime is 41313407. The reversal of 41313400 is 431314.

41313400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313407) 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 23 ways as a sum of consecutive naturals, for example, 98391 + ... + 98809.

Almost surely, 241313400 is an apocalyptic number.

41313400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731000).

41313400 is an abundant number, since it is smaller than the sum of its proper divisors (64148600).

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

41313400 is a wasteful number, since it uses less digits than its factorization.

41313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41313400 is about 6427.5500775957. The cubic root of 41313400 is about 345.6980894055.

Adding to 41313400 its reverse (431314), we get a palindrome (41744714).

The spelling of 41313400 in words is "forty-one million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 290 340 419 425 493 580 680 725 838 850 986 1160 1450 1676 1700 1972 2095 2465 2900 3352 3400 3944 4190 4930 5800 7123 8380 9860 10475 12151 12325 14246 16760 19720 20950 24302 24650 28492 35615 41900 48604 49300 56984 60755 71230 83800 97208 98600 121510 142460 178075 206567 243020 284920 303775 356150 413134 486040 607550 712300 826268 1032835 1215100 1424600 1652536 2065670 2430200 4131340 5164175 8262680 10328350 20656700 41313400