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42650300 = 225271129191
BaseRepresentation
bin1010001010110…
…0101010111100
32222020212012202
42202230222330
541404302200
64122051032
71025343620
oct242545274
988225182
1042650300
1122090890
1212349a78
138ab3c84
145943180
153b271d5
hex28acabc

42650300 has 144 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 12768000.

The previous prime is 42650299. The next prime is 42650317. The reversal of 42650300 is 305624.

42650300 = 3082 + 3092 + ... + 5392.

42650300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 223205 + ... + 223395.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 242650300 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 42650300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

42650300 is an abundant number, since it is smaller than the sum of its proper divisors (77342020).

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

42650300 is a wasteful number, since it uses less digits than its factorization.

42650300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 42650300 is about 6530.7197153147. The cubic root of 42650300 is about 349.3875001795.

Adding to 42650300 its reverse (305624), we get a palindrome (42955924).

The spelling of 42650300 in words is "forty-two million, six hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 191 203 220 275 290 308 319 350 382 385 406 550 580 638 700 725 764 770 812 955 1015 1100 1276 1337 1450 1540 1595 1910 1925 2030 2101 2233 2674 2900 3190 3820 3850 4060 4202 4466 4775 5075 5348 5539 6380 6685 7700 7975 8404 8932 9550 10150 10505 11078 11165 13370 14707 15950 19100 20300 21010 22156 22330 26740 27695 29414 31900 33425 38773 42020 44660 52525 55390 55825 58828 60929 66850 73535 77546 105050 110780 111650 121858 133700 138475 147070 155092 193865 210100 223300 243716 276950 294140 304645 367675 387730 426503 553900 609290 735350 775460 853006 969325 1218580 1470700 1523225 1706012 1938650 2132515 3046450 3877300 4265030 6092900 8530060 10662575 21325150 42650300