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41493456 = 24321931493
BaseRepresentation
bin1001111001001…
…0001111010000
32220002002022200
42132102033100
541110242311
64041203200
71012455114
oct236221720
986062280
1041493456
1121470714
1211a90500
13879a554
145721744
153999556
hex27923d0

41493456 has 60 divisors (see below), whose sum is σ = 116803908. Its totient is φ = 13750272.

The previous prime is 41493451. The next prime is 41493457. The reversal of 41493456 is 65439414.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 17640000 = 4884^2 + 4200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41493456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41493451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27046 + ... + 28538.

Almost surely, 241493456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41493456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58401954).

41493456 is an abundant number, since it is smaller than the sum of its proper divisors (75310452).

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

41493456 is a wasteful number, since it uses less digits than its factorization.

41493456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 41493456 is about 6441.5414304342. The cubic root of 41493456 is about 346.1995796897.

The spelling of 41493456 in words is "forty-one million, four hundred ninety-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1493 1544 1737 2316 2986 3088 3474 4479 4632 5972 6948 8958 9264 11944 13437 13896 17916 23888 26874 27792 35832 53748 71664 107496 214992 288149 576298 864447 1152596 1728894 2305192 2593341 3457788 4610384 5186682 6915576 10373364 13831152 20746728 41493456