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41944200 = 23352531319
BaseRepresentation
bin1010000000000…
…0010010001000
32220220222121220
42200000102020
541214203300
64055002040
71016343204
oct240002210
986828556
1041944200
1121749331
1212069320
1388c776c
1457dbb04
153a37da0
hex2800488

41944200 has 96 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 10965760.

The previous prime is 41944193. The next prime is 41944207. The reversal of 41944200 is 244914.

It is an interprime number because it is at equal distance from previous prime (41944193) and next prime (41944207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41944207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31141 + ... + 32459.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 241944200 is an apocalyptic number.

41944200 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 41944200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

41944200 is an abundant number, since it is smaller than the sum of its proper divisors (90636600).

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

41944200 is a wasteful number, since it uses less digits than its factorization.

41944200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41944200 is about 6476.4342040972. The cubic root of 41944200 is about 347.4486579428.

The spelling of 41944200 in words is "forty-one million, nine hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1319 1325 1590 2120 2638 2650 3180 3957 3975 5276 5300 6360 6595 7914 7950 10552 10600 13190 15828 15900 19785 26380 31656 31800 32975 39570 52760 65950 69907 79140 98925 131900 139814 158280 197850 209721 263800 279628 349535 395700 419442 559256 699070 791400 838884 1048605 1398140 1677768 1747675 2097210 2796280 3495350 4194420 5243025 6990700 8388840 10486050 13981400 20972100 41944200