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42431184 = 24321717333
BaseRepresentation
bin1010000111011…
…1001011010000
32221211201122100
42201313023100
541330244214
64113240400
71023442035
oct241671320
987751570
1042431184
1121a511a4
1212263100
138a38313
1458c738c
153ad2309
hex28772d0

42431184 has 60 divisors (see below), whose sum is σ = 125740836. Its totient is φ = 13310976.

The previous prime is 42431143. The next prime is 42431197. The reversal of 42431184 is 48113424.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 26749584 = 3960^2 + 5172^2 .

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

It is a congruent number.

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, 6219 + ... + 11114.

Almost surely, 242431184 is an apocalyptic number.

It is an amenable number.

42431184 is an abundant number, since it is smaller than the sum of its proper divisors (83309652).

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

42431184 is a wasteful number, since it uses less digits than its factorization.

42431184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17364 (or 17355 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42431184 is about 6513.9223206913. The cubic root of 42431184 is about 348.7881462880.

The spelling of 42431184 in words is "forty-two million, four hundred thirty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 17333 34666 51999 69332 103998 138664 155997 207996 277328 294661 311994 415992 589322 623988 831984 883983 1178644 1247976 1767966 2357288 2495952 2651949 3535932 4714576 5303898 7071864 10607796 14143728 21215592 42431184