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42481128 = 2333475101
BaseRepresentation
bin1010001000001…
…1010111101000
32221221021011010
42202003113220
541333344003
64114303520
71024040454
oct242032750
987837133
1042481128
1121a85778
1212287ba0
138a54c81
1458db664
153ae2003
hex28835e8

42481128 has 32 divisors (see below), whose sum is σ = 106529760. Its totient is φ = 14116800.

The previous prime is 42481099. The next prime is 42481133. The reversal of 42481128 is 82118424.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 42481095 and 42481104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5778 + ... + 10878.

It is an arithmetic number, because the mean of its divisors is an integer number (3329055).

Almost surely, 242481128 is an apocalyptic number.

It is an amenable number.

42481128 is an abundant number, since it is smaller than the sum of its proper divisors (64048632).

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

42481128 is a wasteful number, since it uses less digits than its factorization.

42481128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5453 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 42481128 is about 6517.7548281598. The cubic root of 42481128 is about 348.9249406867.

The spelling of 42481128 in words is "forty-two million, four hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 347 694 1041 1388 2082 2776 4164 5101 8328 10202 15303 20404 30606 40808 61212 122424 1770047 3540094 5310141 7080188 10620282 14160376 21240564 42481128