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42361500 = 2235331911
BaseRepresentation
bin1010000110011…
…0001010011100
32221201012001110
42201212022130
541321032000
64111542020
71023031626
oct241461234
987635043
1042361500
1121a03905
121222a910
138a1269c
1458a9c16
153abb850
hex286629c

42361500 has 96 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 10920000.

The previous prime is 42361499. The next prime is 42361513. The reversal of 42361500 is 516324.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 46045 + ... + 46955.

It is an arithmetic number, because the mean of its divisors is an integer number (1327872).

Almost surely, 242361500 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 42361500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

42361500 is an abundant number, since it is smaller than the sum of its proper divisors (85114212).

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

42361500 is a wasteful number, since it uses less digits than its factorization.

42361500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42361500 is about 6508.5712717923. The cubic root of 42361500 is about 348.5971054209.

Adding to 42361500 its reverse (516324), we get a palindrome (42877824).

The spelling of 42361500 in words is "forty-two million, three hundred sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 911 930 1500 1550 1822 1860 2325 2733 3100 3644 3875 4555 4650 5466 7750 9110 9300 10932 11625 13665 15500 18220 22775 23250 27330 28241 45550 46500 54660 56482 68325 84723 91100 112964 113875 136650 141205 169446 227750 273300 282410 338892 341625 423615 455500 564820 683250 706025 847230 1366500 1412050 1694460 2118075 2824100 3530125 4236150 7060250 8472300 10590375 14120500 21180750 42361500