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42120612 = 22324128537
BaseRepresentation
bin1010000010101…
…1010110100100
32221020221121200
42200223112210
541240324422
64102442500
71021006422
oct240532644
987227550
1042120612
1121859926
1212133430
138959b51
145846112
153a702ac
hex282b5a4

42120612 has 36 divisors (see below), whose sum is σ = 109072236. Its totient is φ = 13697280.

The previous prime is 42120593. The next prime is 42120623. The reversal of 42120612 is 21602124.

42120612 is a `hidden beast` number, since 42 + 12 + 0 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 38638656 = 1866^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 12793 + ... + 15744.

Almost surely, 242120612 is an apocalyptic number.

It is an amenable number.

42120612 is an abundant number, since it is smaller than the sum of its proper divisors (66951624).

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

42120612 is a wasteful number, since it uses less digits than its factorization.

42120612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28588 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42120612 is about 6490.0394451806. The cubic root of 42120612 is about 347.9350849983.

Adding to 42120612 its reverse (21602124), we get a palindrome (63722736).

The spelling of 42120612 in words is "forty-two million, one hundred twenty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 28537 57074 85611 114148 171222 256833 342444 513666 1027332 1170017 2340034 3510051 4680068 7020102 10530153 14040204 21060306 42120612