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41242100 = 2252616761
BaseRepresentation
bin1001110101010…
…0110111110100
32212121022112012
42131110313310
541024221400
64031543352
71010360234
oct235246764
985538465
1041242100
1121309889
121198ab58
138710013
145697cc4
153949d35
hex2754df4

41242100 has 36 divisors (see below), whose sum is σ = 90975948. Its totient is φ = 16224000.

The previous prime is 41242099. The next prime is 41242111. The reversal of 41242100 is 124214.

It can be written as a sum of positive squares in 6 ways, for example, as 3247204 + 37994896 = 1802^2 + 6164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2720 + ... + 9480.

Almost surely, 241242100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45487974).

41242100 is an abundant number, since it is smaller than the sum of its proper divisors (49733848).

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

41242100 is a wasteful number, since it uses less digits than its factorization.

41242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 41242100 is about 6422.0012457177. The cubic root of 41242100 is about 345.4991025798.

Adding to 41242100 its reverse (124214), we get a palindrome (41366314).

The spelling of 41242100 in words is "forty-one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 6761 13522 27044 33805 67610 135220 169025 338050 412421 676100 824842 1649684 2062105 4124210 8248420 10310525 20621050 41242100