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42472332 = 22327168541
BaseRepresentation
bin1010001000000…
…1001110001100
32221220211002100
42202001032030
541333103312
64114155100
71024003020
oct242011614
987824070
1042472332
1121a7a101
1212282a90
138a50c76
1458d8380
153ade5dc
hex288138c

42472332 has 36 divisors (see below), whose sum is σ = 122698576. Its totient is φ = 12134880.

The previous prime is 42472321. The next prime is 42472333. The reversal of 42472332 is 23327424.

42472332 is a `hidden beast` number, since 424 + 7 + 233 + 2 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 42472296 and 42472305.

It is not an unprimeable number, because it can be changed into a prime (42472333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84019 + ... + 84522.

Almost surely, 242472332 is an apocalyptic number.

42472332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42472332 is an abundant number, since it is smaller than the sum of its proper divisors (80226244).

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

42472332 is a wasteful number, since it uses less digits than its factorization.

42472332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168558 (or 168553 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 42472332 is about 6517.0800209910. The cubic root of 42472332 is about 348.9008566147.

Adding to 42472332 its reverse (23327424), we get a palindrome (65799756).

The spelling of 42472332 in words is "forty-two million, four hundred seventy-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 168541 337082 505623 674164 1011246 1179787 1516869 2022492 2359574 3033738 3539361 4719148 6067476 7078722 10618083 14157444 21236166 42472332