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41214400 = 265225759
BaseRepresentation
bin1001110100111…
…0000111000000
32212112220112021
42131032013000
541022330100
64031211224
71010213413
oct235160700
985486467
1041214400
112129aa97
1211976b14
138700526
14568bb7a
153941a1a
hex274e1c0

41214400 has 42 divisors (see below), whose sum is σ = 101417120. Its totient is φ = 16485120.

The previous prime is 41214361. The next prime is 41214449. The reversal of 41214400 is 441214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11280 + ... + 14479.

Almost surely, 241214400 is an apocalyptic number.

41214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214400 is an abundant number, since it is smaller than the sum of its proper divisors (60202720).

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

41214400 is a wasteful number, since it uses less digits than its factorization.

41214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25781 (or 25766 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41214400 is about 6419.8442348705. The cubic root of 41214400 is about 345.4217344813.

Adding to 41214400 its reverse (441214), we get a palindrome (41655614).

It can be divided in two parts, 41214 and 400, that added together give a palindrome (41614).

The spelling of 41214400 in words is "forty-one million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 25759 51518 103036 128795 206072 257590 412144 515180 643975 824288 1030360 1287950 1648576 2060720 2575900 4121440 5151800 8242880 10303600 20607200 41214400