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42923160 = 23325717033
BaseRepresentation
bin1010001110111…
…1010010011000
32222202201111200
42203233102120
541442020120
64131554200
71030561260
oct243572230
988681450
1042923160
1122257895
121245b960
138b7b227
1459b47a0
153b7ce90
hex28ef498

42923160 has 96 divisors (see below), whose sum is σ = 159438240. Its totient is φ = 9810432.

The previous prime is 42923141. The next prime is 42923171. The reversal of 42923160 is 6132924.

42923160 is a `hidden beast` number, since 429 + 231 + 6 + 0 = 666.

42923160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5997 + ... + 11036.

It is an arithmetic number, because the mean of its divisors is an integer number (1660815).

Almost surely, 242923160 is an apocalyptic number.

42923160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42923160 is an abundant number, since it is smaller than the sum of its proper divisors (116515080).

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

42923160 is a wasteful number, since it uses less digits than its factorization.

42923160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17057 (or 17050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42923160 is about 6551.5769094165. The cubic root of 42923160 is about 350.1309985826.

The spelling of 42923160 in words is "forty-two million, nine hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 17033 34066 51099 68132 85165 102198 119231 136264 153297 170330 204396 238462 255495 306594 340660 357693 408792 476924 510990 596155 613188 681320 715386 766485 953848 1021980 1073079 1192310 1226376 1430772 1532970 1788465 2043960 2146158 2384620 2861544 3065940 3576930 4292316 4769240 5365395 6131880 7153860 8584632 10730790 14307720 21461580 42923160