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42134988 = 223723113193
BaseRepresentation
bin1010000010111…
…0110111001100
32221021200100010
42200232313030
541241304423
64103033220
71021066350
oct240566714
987250303
1042134988
1121869705
121213b810
13896355c
14584b460
153a74693
hex282edcc

42134988 has 96 divisors (see below), whose sum is σ = 118895616. Its totient is φ = 11354112.

The previous prime is 42134987. The next prime is 42135013. The reversal of 42134988 is 88943124.

42134988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42134987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218220 + ... + 218412.

It is an arithmetic number, because the mean of its divisors is an integer number (1238496).

Almost surely, 242134988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59447808).

42134988 is an abundant number, since it is smaller than the sum of its proper divisors (76760628).

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

42134988 is a wasteful number, since it uses less digits than its factorization.

42134988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 42134988 is about 6491.1468940396. The cubic root of 42134988 is about 347.9746645580.

The spelling of 42134988 in words is "forty-two million, one hundred thirty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 113 138 161 193 226 276 322 339 386 452 483 579 644 678 772 791 966 1158 1351 1356 1582 1932 2316 2373 2599 2702 3164 4053 4439 4746 5198 5404 7797 8106 8878 9492 10396 13317 15594 16212 17756 18193 21809 26634 31073 31188 36386 43618 53268 54579 62146 65427 72772 87236 93219 109158 124292 130854 152663 186438 218316 261708 305326 372876 457989 501607 610652 915978 1003214 1504821 1831956 2006428 3009642 3511249 6019284 7022498 10533747 14044996 21067494 42134988