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41282100 = 22325245869
BaseRepresentation
bin1001110101111…
…0101000110100
32212200100101200
42131132220310
541032011400
64032452500
71010614656
oct235365064
985610350
1041282100
1121336942
12119aa130
1387252a2
1456a86d6
153956b00
hex275ea34

41282100 has 54 divisors (see below), whose sum is σ = 129399270. Its totient is φ = 11008320.

The previous prime is 41282099. The next prime is 41282119. The reversal of 41282100 is 128214.

It can be written as a sum of positive squares in 3 ways, for example, as 4848804 + 36433296 = 2202^2 + 6036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22035 + ... + 23834.

Almost surely, 241282100 is an apocalyptic number.

It is an amenable number.

41282100 is an abundant number, since it is smaller than the sum of its proper divisors (88117170).

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

41282100 is a wasteful number, since it uses less digits than its factorization.

41282100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45889 (or 45879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41282100 is about 6425.1147849669. The cubic root of 41282100 is about 345.6107643574.

The spelling of 41282100 in words is "forty-one million, two hundred eighty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 45869 91738 137607 183476 229345 275214 412821 458690 550428 688035 825642 917380 1146725 1376070 1651284 2064105 2293450 2752140 3440175 4128210 4586900 6880350 8256420 10320525 13760700 20641050 41282100