Search a number
-
+
42963000 = 2335314321
BaseRepresentation
bin1010001111100…
…1000000111000
32222211202011020
42203321000320
541444304000
64132502440
71031115363
oct243710070
988752136
1042963000
1122284813
121247aa20
138b933c2
1459c50da
153b89ba0
hex28f9038

42963000 has 64 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 11456000.

The previous prime is 42962999. The next prime is 42963001. The reversal of 42963000 is 36924.

It is an interprime number because it is at equal distance from previous prime (42962999) and next prime (42963001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42963001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161 + ... + 10160.

Almost surely, 242963000 is an apocalyptic number.

42963000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42963000 is an abundant number, since it is smaller than the sum of its proper divisors (91090920).

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

42963000 is a wasteful number, since it uses less digits than its factorization.

42963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 42963000 is about 6554.6166935985. The cubic root of 42963000 is about 350.2392921429.

Adding to 42963000 its reverse (36924), we get a palindrome (42999924).

The spelling of 42963000 in words is "forty-two million, nine hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 14321 28642 42963 57284 71605 85926 114568 143210 171852 214815 286420 343704 358025 429630 572840 716050 859260 1074075 1432100 1718520 1790125 2148150 2864200 3580250 4296300 5370375 7160500 8592600 10740750 14321000 21481500 42963000