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42121134 = 235117879
BaseRepresentation
bin1010000010101…
…1011110101110
32221020222100000
42200223132232
541240334014
64102445130
71021011066
oct240533656
987228300
1042121134
112185a260
12121337a6
13895a163
1458463a6
153a70509
hex282b7ae

42121134 has 48 divisors (see below), whose sum is σ = 103259520. Its totient is φ = 12762360.

The previous prime is 42121099. The next prime is 42121147. The reversal of 42121134 is 43112124.

42121134 is a `hidden beast` number, since 421 + 211 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 9285.

It is an arithmetic number, because the mean of its divisors is an integer number (2151240).

Almost surely, 242121134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51629760).

42121134 is an abundant number, since it is smaller than the sum of its proper divisors (61138386).

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

42121134 is a wasteful number, since it uses less digits than its factorization.

42121134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7895 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42121134 is about 6490.0796605281. The cubic root of 42121134 is about 347.9365223101.

Adding to 42121134 its reverse (43112124), we get a palindrome (85233258).

The spelling of 42121134 in words is "forty-two million, one hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 7879 15758 23637 47274 70911 86669 141822 173338 212733 260007 425466 520014 638199 780021 1276398 1560042 1914597 2340063 3829194 4680126 7020189 14040378 21060567 42121134