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42303300 = 223521310847
BaseRepresentation
bin1010000101011…
…1111101000100
32221121020012220
42201113331010
541312201200
64110412340
71022400144
oct241277504
987536186
1042303300
1121974106
12122010b0
1389c2050
145892924
153aa94a0
hex2857f44

42303300 has 72 divisors (see below), whose sum is σ = 131824896. Its totient is φ = 10412160.

The previous prime is 42303277. The next prime is 42303301. The reversal of 42303300 is 330324.

42303300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42303300.

It is not an unprimeable number, because it can be changed into a prime (42303301) 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 23 ways as a sum of consecutive naturals, for example, 1524 + ... + 9323.

Almost surely, 242303300 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 42303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65912448).

42303300 is an abundant number, since it is smaller than the sum of its proper divisors (89521596).

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

42303300 is a wasteful number, since it uses less digits than its factorization.

42303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 42303300 is about 6504.0987077381. The cubic root of 42303300 is about 348.4373876745.

Adding to 42303300 its reverse (330324), we get a palindrome (42633624).

The spelling of 42303300 in words is "forty-two million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 10847 21694 32541 43388 54235 65082 108470 130164 141011 162705 216940 271175 282022 325410 423033 542350 564044 650820 705055 813525 846066 1084700 1410110 1627050 1692132 2115165 2820220 3254100 3525275 4230330 7050550 8460660 10575825 14101100 21151650 42303300