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42188124 = 22311319607
BaseRepresentation
bin1010000011101…
…1110101011100
32221101101020010
42200323311130
541300004444
64104123220
71021410306
oct240736534
987341203
1042188124
11218a5620
1212166510
1389817b4
145862976
153a852b9
hex283bd5c

42188124 has 24 divisors (see below), whose sum is σ = 107388288. Its totient is φ = 12784240.

The previous prime is 42188051. The next prime is 42188131.

42188124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42188091 and 42188100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159672 + ... + 159935.

It is an arithmetic number, because the mean of its divisors is an integer number (4474512).

Almost surely, 242188124 is an apocalyptic number.

42188124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42188124 is an abundant number, since it is smaller than the sum of its proper divisors (65200164).

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

42188124 is a wasteful number, since it uses less digits than its factorization.

42188124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319625 (or 319623 counting only the distinct ones).

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

The square root of 42188124 is about 6495.2385637481. The cubic root of 42188124 is about 348.1208788689.

The spelling of 42188124 in words is "forty-two million, one hundred eighty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 319607 639214 958821 1278428 1917642 3515677 3835284 7031354 10547031 14062708 21094062 42188124