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41974000 = 245331677
BaseRepresentation
bin1010000000011…
…1100011110000
32220222111111121
42200013203300
541221132000
64055352024
71016526115
oct240074360
986874447
1041974000
1121769762
1212082614
1389081b3
14580890c
153a41b1a
hex28078f0

41974000 has 80 divisors (see below), whose sum is σ = 104921856. Its totient is φ = 16224000.

The previous prime is 41973989. The next prime is 41974001. The reversal of 41974000 is 47914.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41974001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61662 + ... + 62338.

Almost surely, 241974000 is an apocalyptic number.

41974000 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 41974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52460928).

41974000 is an abundant number, since it is smaller than the sum of its proper divisors (62947856).

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

41974000 is a wasteful number, since it uses less digits than its factorization.

41974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 41974000 is about 6478.7344443186. The cubic root of 41974000 is about 347.5309221487.

The spelling of 41974000 in words is "forty-one million, nine hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 677 775 1000 1240 1354 1550 2000 2480 2708 3100 3385 3875 5416 6200 6770 7750 10832 12400 13540 15500 16925 20987 27080 31000 33850 41974 54160 62000 67700 83948 84625 104935 135400 167896 169250 209870 270800 335792 338500 419740 524675 677000 839480 1049350 1354000 1678960 2098700 2623375 4197400 5246750 8394800 10493500 20987000 41974000