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41130400 = 255251413
BaseRepresentation
bin1001110011100…
…1100110100000
32212101122022011
42130321212200
541012133100
64025322304
71006413463
oct234714640
985348264
1041130400
1121242973
1211936394
1386a121c
1456692da
153926bba
hex27399a0

41130400 has 36 divisors (see below), whose sum is σ = 100411542. Its totient is φ = 16451840.

The previous prime is 41130379. The next prime is 41130413. The reversal of 41130400 is 403114.

It can be written as a sum of positive squares in 3 ways, for example, as 27499536 + 13630864 = 5244^2 + 3692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24907 + ... + 26506.

Almost surely, 241130400 is an apocalyptic number.

41130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41130400 is an abundant number, since it is smaller than the sum of its proper divisors (59281142).

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

41130400 is a wasteful number, since it uses less digits than its factorization.

41130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51433 (or 51420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 41130400 is about 6413.2986832051. The cubic root of 41130400 is about 345.1869042571.

Adding to 41130400 its reverse (403114), we get a palindrome (41533514).

The spelling of 41130400 in words is "forty-one million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 51413 102826 205652 257065 411304 514130 822608 1028260 1285325 1645216 2056520 2570650 4113040 5141300 8226080 10282600 20565200 41130400