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41224000 = 26535153
BaseRepresentation
bin1001110101000…
…0011101000000
32212120101200211
42131100131000
541023132000
64031323504
71010253406
oct235203500
985511624
1041224000
11212a7224
1211980594
1387049cc
145691476
1539447ba
hex2750740

41224000 has 56 divisors (see below), whose sum is σ = 102111048. Its totient is φ = 16486400.

The previous prime is 41223967. The next prime is 41224013. The reversal of 41224000 is 42214.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 40347904 = 936^2 + 6352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5424 + ... + 10576.

Almost surely, 241224000 is an apocalyptic number.

41224000 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 41224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51055524).

41224000 is an abundant number, since it is smaller than the sum of its proper divisors (60887048).

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

41224000 is an equidigital number, since it uses as much as digits as its factorization.

41224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 41224000 is about 6420.5918730285. The cubic root of 41224000 is about 345.4485518980.

Adding to 41224000 its reverse (42214), we get a palindrome (41266214).

The spelling of 41224000 in words is "forty-one million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 5153 8000 10306 20612 25765 41224 51530 82448 103060 128825 164896 206120 257650 329792 412240 515300 644125 824480 1030600 1288250 1648960 2061200 2576500 4122400 5153000 8244800 10306000 20612000 41224000