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42433902 = 233732979
BaseRepresentation
bin1010000111011…
…1110101101110
32221211212101000
42201313311232
541330341102
64113301130
71023453000
oct241676556
987755330
1042433902
1121a53245
12122647a6
138a39624
1458c8370
153ad301c
hex2877d6e

42433902 has 128 divisors (see below), whose sum is σ = 115200000. Its totient is φ = 11557728.

The previous prime is 42433901. The next prime is 42433939. The reversal of 42433902 is 20933424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537099 + ... + 537177.

It is an arithmetic number, because the mean of its divisors is an integer number (900000).

Almost surely, 242433902 is an apocalyptic number.

42433902 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42433902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600000).

42433902 is an abundant number, since it is smaller than the sum of its proper divisors (72766098).

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

42433902 is a wasteful number, since it uses less digits than its factorization.

42433902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42433902 is about 6514.1309474096. The cubic root of 42433902 is about 348.7955935304.

The spelling of 42433902 in words is "forty-two million, four hundred thirty-three thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 79 87 98 126 147 158 174 189 203 237 261 294 343 378 406 441 474 522 553 609 686 711 783 882 1029 1106 1218 1323 1421 1422 1566 1659 1827 2058 2133 2291 2646 2842 3087 3318 3654 3871 4263 4266 4582 4977 5481 6174 6873 7742 8526 9261 9947 9954 10962 11613 12789 13746 14931 16037 18522 19894 20619 23226 25578 27097 29841 29862 32074 34839 38367 41238 48111 54194 59682 61857 69678 76734 81291 89523 96222 104517 112259 123714 144333 162582 179046 209034 224518 243873 268569 288666 336777 432999 487746 537138 673554 731619 785813 865998 1010331 1463238 1571626 2020662 2357439 3030993 4714878 6061986 7072317 14144634 21216951 42433902