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41424400 = 2452103561
BaseRepresentation
bin1001111000000…
…1011000010000
32212221120121001
42132001120100
541101040100
64035511344
71012046563
oct236013020
985846531
1041424400
1121423846
1211a58554
138774ca4
1457044da
153983d6a
hex2781610

41424400 has 30 divisors (see below), whose sum is σ = 99523082. Its totient is φ = 16569600.

The previous prime is 41424379. The next prime is 41424407. The reversal of 41424400 is 442414.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 41422096 = 48^2 + 6436^2 .

It is not an unprimeable number, because it can be changed into a prime (41424407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51381 + ... + 52180.

Almost surely, 241424400 is an apocalyptic number.

41424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424400 is an abundant number, since it is smaller than the sum of its proper divisors (58098682).

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

41424400 is a wasteful number, since it uses less digits than its factorization.

41424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103579 (or 103568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 41424400 is about 6436.1789906745. The cubic root of 41424400 is about 346.0074173959.

Adding to 41424400 its reverse (442414), we get a palindrome (41866814).

The spelling of 41424400 in words is "forty-one million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 103561 207122 414244 517805 828488 1035610 1656976 2071220 2589025 4142440 5178050 8284880 10356100 20712200 41424400