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41224900 = 2252412249
BaseRepresentation
bin1001110101000…
…0101011000100
32212120102221011
42131100223010
541023144100
64031332004
71010256133
oct235205304
985512834
1041224900
11212a7972
1211981004
138705242
14569191a
153944bba
hex2750ac4

41224900 has 18 divisors (see below), whose sum is σ = 89458250. Its totient is φ = 16489920.

The previous prime is 41224879. The next prime is 41224907. The reversal of 41224900 is 942214.

It can be written as a sum of positive squares in 3 ways, for example, as 367236 + 40857664 = 606^2 + 6392^2 .

It is not an unprimeable number, because it can be changed into a prime (41224907) by changing a digit.

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, 206025 + ... + 206224.

Almost surely, 241224900 is an apocalyptic number.

It is an amenable number.

41224900 is an abundant number, since it is smaller than the sum of its proper divisors (48233350).

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

41224900 is a wasteful number, since it uses less digits than its factorization.

41224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412263 (or 412256 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 41224900 is about 6420.6619596425. The cubic root of 41224900 is about 345.4510658174.

It can be divided in two parts, 41224 and 900, that added together give a palindrome (42124).

The spelling of 41224900 in words is "forty-one million, two hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 412249 824498 1648996 2061245 4122490 8244980 10306225 20612450 41224900