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42432432 = 2437218041
BaseRepresentation
bin1010000111011…
…1011110110000
32221211210100120
42201313132300
541330314212
64113250240
71023445500
oct241673660
987753316
1042432432
1121a52129
1212263980
138a38a63
1458c7a00
153ad288c
hex28777b0

42432432 has 60 divisors (see below), whose sum is σ = 127520856. Its totient is φ = 12122880.

The previous prime is 42432427. The next prime is 42432433. The reversal of 42432432 is 23423424.

It is a super-2 number, since 2×424324322 = 3601022570869248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (42432433) 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, 6669 + ... + 11372.

Almost surely, 242432432 is an apocalyptic number.

42432432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42432432 is an abundant number, since it is smaller than the sum of its proper divisors (85088424).

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

42432432 is a wasteful number, since it uses less digits than its factorization.

42432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18066 (or 18053 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 42432432 is about 6514.0181148044. The cubic root of 42432432 is about 348.7915658118.

Adding to 42432432 its reverse (23423424), we get a palindrome (65855856).

The spelling of 42432432 in words is "forty-two million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 18041 36082 54123 72164 108246 126287 144328 216492 252574 288656 378861 432984 505148 757722 865968 884009 1010296 1515444 1768018 2020592 2652027 3030888 3536036 5304054 6061776 7072072 10608108 14144144 21216216 42432432