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42188128 = 251318379
BaseRepresentation
bin1010000011101…
…1110101100000
32221101101020021
42200323311200
541300010003
64104123224
71021410313
oct240736540
987341207
1042188128
11218a5624
1212166514
1389817b8
14586297a
153a852bd
hex283bd60

42188128 has 12 divisors (see below), whose sum is σ = 83057940. Its totient is φ = 21094048.

The previous prime is 42188051. The next prime is 42188131. The reversal of 42188128 is 82188124.

It is a super-3 number, since 3×421881283 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct 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 = 42188093 and 42188102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 659158 + ... + 659221.

It is an arithmetic number, because the mean of its divisors is an integer number (6921495).

Almost surely, 242188128 is an apocalyptic number.

It is an amenable number.

42188128 is a deficient number, since it is larger than the sum of its proper divisors (40869812).

42188128 is a wasteful number, since it uses less digits than its factorization.

42188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318389 (or 1318381 counting only the distinct ones).

The product of its digits is 8192, while the sum is 34.

The square root of 42188128 is about 6495.2388716659. The cubic root of 42188128 is about 348.1208898711.

The spelling of 42188128 in words is "forty-two million, one hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 1318379 2636758 5273516 10547032 21094064 42188128