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42672132 = 22321185337
BaseRepresentation
bin1010001011001…
…0000000000100
32222021222011100
42202302000010
541411002012
64122340100
71025464356
oct242620004
988258140
1042672132
11220a6228
121235a630
138ac0ba9
14594b0d6
153b2d8dc
hex28b2004

42672132 has 18 divisors (see below), whose sum is σ = 107865758. Its totient is φ = 14224032.

The previous prime is 42672101. The next prime is 42672173. The reversal of 42672132 is 23127624.

It can be written as a sum of positive squares in only one way, i.e., 36796356 + 5875776 = 6066^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 42672096 and 42672105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 592633 + ... + 592704.

Almost surely, 242672132 is an apocalyptic number.

It is an amenable number.

42672132 is an abundant number, since it is smaller than the sum of its proper divisors (65193626).

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

42672132 is a wasteful number, since it uses less digits than its factorization.

42672132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185347 (or 1185342 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42672132 is about 6532.3909864612. The cubic root of 42672132 is about 349.4471052839.

Adding to 42672132 its reverse (23127624), we get a palindrome (65799756).

The spelling of 42672132 in words is "forty-two million, six hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1185337 2370674 3556011 4741348 7112022 10668033 14224044 21336066 42672132