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42753690 = 2335722621
BaseRepresentation
bin1010001100010…
…1111010011010
32222110010001000
42203011322122
541421104230
64124205430
71026254220
oct243057232
988403030
1042753690
1122151531
1212399876
138b1c055
14596cb10
153b47b60
hex28c5e9a

42753690 has 64 divisors (see below), whose sum is σ = 130302720. Its totient is φ = 9771840.

The previous prime is 42753677. The next prime is 42753703. The reversal of 42753690 is 9635724.

42753690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42753677) and next prime (42753703).

It is a super-2 number, since 2×427536902 = 3655756017232200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 9421 + ... + 13200.

It is an arithmetic number, because the mean of its divisors is an integer number (2035980).

Almost surely, 242753690 is an apocalyptic number.

42753690 is an abundant number, since it is smaller than the sum of its proper divisors (87549030).

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

42753690 is a wasteful number, since it uses less digits than its factorization.

42753690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22644 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42753690 is about 6538.6305905748. The cubic root of 42753690 is about 349.6695929491.

The spelling of 42753690 in words is "forty-two million, seven hundred fifty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 22621 45242 67863 113105 135726 158347 203589 226210 316694 339315 407178 475041 610767 678630 791735 950082 1017945 1221534 1425123 1583470 2035890 2375205 2850246 3053835 4275369 4750410 6107670 7125615 8550738 14251230 21376845 42753690