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42211300 = 2252422113
BaseRepresentation
bin1010000100000…
…1011111100100
32221102120000111
42201001133210
541301230200
64104422404
71021535005
oct241013744
987376014
1042211300
1121910a7a
1212177a04
13898c201
14586b1ac
153a8c0ba
hex28417e4

42211300 has 18 divisors (see below), whose sum is σ = 91598738. Its totient is φ = 16884480.

The previous prime is 42211297. The next prime is 42211303. The reversal of 42211300 is 311224.

It is an interprime number because it is at equal distance from previous prime (42211297) and next prime (42211303).

It can be written as a sum of positive squares in 3 ways, for example, as 12334144 + 29877156 = 3512^2 + 5466^2 .

It is not an unprimeable number, because it can be changed into a prime (42211303) 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, 210957 + ... + 211156.

Almost surely, 242211300 is an apocalyptic number.

It is an amenable number.

42211300 is an abundant number, since it is smaller than the sum of its proper divisors (49387438).

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

42211300 is a wasteful number, since it uses less digits than its factorization.

42211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422127 (or 422120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42211300 is about 6497.0223949129. The cubic root of 42211300 is about 348.1846138081.

Adding to 42211300 its reverse (311224), we get a palindrome (42522524).

The spelling of 42211300 in words is "forty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 422113 844226 1688452 2110565 4221130 8442260 10552825 21105650 42211300