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41494200 = 23352116287
BaseRepresentation
bin1001111001001…
…0011010111000
32220002010100020
42132102122320
541110303300
64041210440
71012460226
oct236223270
986063306
1041494200
1121471230
1211a90a20
13879a9a7
145721b16
1539998a0
hex27926b8

41494200 has 96 divisors (see below), whose sum is σ = 140348160. Its totient is φ = 10057600.

The previous prime is 41494171. The next prime is 41494207. The reversal of 41494200 is 249414.

41494200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (41494207) 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, 3457 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (1461960).

Almost surely, 241494200 is an apocalyptic number.

41494200 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 41494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70174080).

41494200 is an abundant number, since it is smaller than the sum of its proper divisors (98853960).

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

41494200 is a wasteful number, since it uses less digits than its factorization.

41494200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6308 counting only the distinct ones).

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

The square root of 41494200 is about 6441.5991803278. The cubic root of 41494200 is about 346.2016488589.

The spelling of 41494200 in words is "forty-one million, four hundred ninety-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6287 6600 12574 18861 25148 31435 37722 50296 62870 69157 75444 94305 125740 138314 150888 157175 188610 207471 251480 276628 314350 345785 377220 414942 471525 553256 628700 691570 754440 829884 943050 1037355 1257400 1383140 1659768 1728925 1886100 2074710 2766280 3457850 3772200 4149420 5186775 6915700 8298840 10373550 13831400 20747100 41494200