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42106772 = 2215767049
BaseRepresentation
bin1010000010011…
…1111110010100
32221020020122002
42200213332110
541234404042
64102254432
71020621161
oct240477624
987206562
1042106772
112184a494
1212127418
138953766
145841068
153a6b132
hex2827f94

42106772 has 12 divisors (see below), whose sum is σ = 74157300. Its totient is φ = 20918976.

The previous prime is 42106759. The next prime is 42106787. The reversal of 42106772 is 27760124.

42106772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13868176 + 28238596 = 3724^2 + 5314^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32897 + ... + 34152.

It is an arithmetic number, because the mean of its divisors is an integer number (6179775).

Almost surely, 242106772 is an apocalyptic number.

It is an amenable number.

42106772 is a deficient number, since it is larger than the sum of its proper divisors (32050528).

42106772 is a wasteful number, since it uses less digits than its factorization.

42106772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67210 (or 67208 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 42106772 is about 6488.9731082815. The cubic root of 42106772 is about 347.8969726280.

Adding to 42106772 its reverse (27760124), we get a palindrome (69866896).

The spelling of 42106772 in words is "forty-two million, one hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 4 157 314 628 67049 134098 268196 10526693 21053386 42106772