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42153126 = 2353711867
BaseRepresentation
bin1010000011001…
…1010010100110
32221022121012220
42200303102212
541242400001
64103253210
71021203261
oct240632246
987277186
1042153126
11218812a4
121214a206
13896b8a2
145853cd8
153a79c36
hex28334a6

42153126 has 32 divisors (see below), whose sum is σ = 87153408. Its totient is φ = 13584480.

The previous prime is 42153121. The next prime is 42153131. The reversal of 42153126 is 62135124.

It is an interprime number because it is at equal distance from previous prime (42153121) and next prime (42153131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42153096 and 42153105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21645 + ... + 23511.

It is an arithmetic number, because the mean of its divisors is an integer number (2723544).

Almost surely, 242153126 is an apocalyptic number.

42153126 is an abundant number, since it is smaller than the sum of its proper divisors (45000282).

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

42153126 is a wasteful number, since it uses less digits than its factorization.

42153126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996.

The product of its digits is 1440, while the sum is 24.

The square root of 42153126 is about 6492.5438774028. The cubic root of 42153126 is about 348.0245886973.

The spelling of 42153126 in words is "forty-two million, one hundred fifty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 53 71 106 142 159 213 318 426 1867 3734 3763 5601 7526 11202 11289 22578 98951 132557 197902 265114 296853 397671 593706 795342 7025521 14051042 21076563 42153126