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42203928 = 233131773109
BaseRepresentation
bin1010000011111…
…1101100011000
32221102011220110
42200333230120
541301011203
64104324320
71021504344
oct240775430
987364813
1042203928
1121906488
12121736a0
138988a50
145868624
153a89d03
hex283fb18

42203928 has 128 divisors (see below), whose sum is σ = 123076800. Its totient is φ = 11943936.

The previous prime is 42203867. The next prime is 42203929. The reversal of 42203928 is 82930224.

42203928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42203895 and 42203904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203929) 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, 387138 + ... + 387246.

Almost surely, 242203928 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 42203928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61538400).

42203928 is an abundant number, since it is smaller than the sum of its proper divisors (80872872).

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

42203928 is a wasteful number, since it uses less digits than its factorization.

42203928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42203928 is about 6496.4550333239. The cubic root of 42203928 is about 348.1643430400.

The spelling of 42203928 in words is "forty-two million, two hundred three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 73 78 102 104 109 136 146 156 204 218 219 221 292 312 327 408 436 438 442 584 654 663 872 876 884 949 1241 1308 1326 1417 1752 1768 1853 1898 2482 2616 2652 2834 2847 3706 3723 3796 4251 4964 5304 5559 5668 5694 7412 7446 7592 7957 8502 9928 11118 11336 11388 14824 14892 15914 16133 17004 22236 22776 23871 24089 29784 31828 32266 34008 44472 47742 48178 48399 63656 64532 72267 95484 96356 96798 103441 129064 135269 144534 190968 192712 193596 206882 270538 289068 310323 387192 405807 413764 541076 578136 620646 811614 827528 1082152 1241292 1623228 1758497 2482584 3246456 3516994 5275491 7033988 10550982 14067976 21101964 42203928