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41774720 = 275135021
BaseRepresentation
bin1001111101011…
…0111010000000
32220121101010212
42133112322000
541143242340
64051213252
71015036121
oct237267200
986541125
1041774720
1121642a69
1211ba7228
138868590
145796048
153a02a65
hex27d6e80

41774720 has 64 divisors (see below), whose sum is σ = 107571240. Its totient is φ = 15421440.

The previous prime is 41774713. The next prime is 41774723. The reversal of 41774720 is 2747714.

41774720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34762816 + 7011904 = 5896^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41774723) 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 7 ways as a sum of consecutive naturals, for example, 5810 + ... + 10830.

Almost surely, 241774720 is an apocalyptic number.

41774720 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 41774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53785620).

41774720 is an abundant number, since it is smaller than the sum of its proper divisors (65796520).

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

41774720 is a wasteful number, since it uses less digits than its factorization.

41774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 41774720 is about 6463.3365996210. The cubic root of 41774720 is about 346.9800584841.

The spelling of 41774720 in words is "forty-one million, seven hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 5021 8320 10042 20084 25105 40168 50210 65273 80336 100420 130546 160672 200840 261092 321344 326365 401680 522184 642688 652730 803360 1044368 1305460 1606720 2088736 2610920 3213440 4177472 5221840 8354944 10443680 20887360 41774720