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42132132 = 22327167191
BaseRepresentation
bin1010000010111…
…0001010100100
32221021112102100
42200232022210
541241212012
64103012100
71021055130
oct240561244
987245370
1042132132
1121867549
121213a030
138962173
14584a3c0
153a738dc
hex282e2a4

42132132 has 36 divisors (see below), whose sum is σ = 121715776. Its totient is φ = 12037680.

The previous prime is 42132127. The next prime is 42132149. The reversal of 42132132 is 23123124.

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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83344 + ... + 83847.

Almost surely, 242132132 is an apocalyptic number.

42132132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42132132 is an abundant number, since it is smaller than the sum of its proper divisors (79583644).

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

42132132 is a wasteful number, since it uses less digits than its factorization.

42132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167208 (or 167203 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42132132 is about 6490.9268983713. The cubic root of 42132132 is about 347.9668022236.

Adding to 42132132 its reverse (23123124), we get a palindrome (65255256).

The spelling of 42132132 in words is "forty-two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 167191 334382 501573 668764 1003146 1170337 1504719 2006292 2340674 3009438 3511011 4681348 6018876 7022022 10533033 14044044 21066066 42132132