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42789780 = 223251121611
BaseRepresentation
bin1010001100111…
…0101110010100
32222111221112200
42203032232110
541423233110
64125044500
71026464355
oct243165624
988457480
1042789780
1122176660
12123b6730
138b325c7
14597bd2c
153b536c0
hex28ceb94

42789780 has 72 divisors (see below), whose sum is σ = 141601824. Its totient is φ = 10372800.

The previous prime is 42789757. The next prime is 42789781. The reversal of 42789780 is 8798724.

42789780 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 (45).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42789781) 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, 8826 + ... + 12785.

It is an arithmetic number, because the mean of its divisors is an integer number (1966692).

Almost surely, 242789780 is an apocalyptic number.

It is an amenable number.

42789780 is an abundant number, since it is smaller than the sum of its proper divisors (98812044).

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

42789780 is a wasteful number, since it uses less digits than its factorization.

42789780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21637 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 42789780 is about 6541.3897605937. The cubic root of 42789780 is about 349.7679550351.

The spelling of 42789780 in words is "forty-two million, seven hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21611 43222 64833 86444 108055 129666 194499 216110 237721 259332 324165 388998 432220 475442 648330 713163 777996 950884 972495 1188605 1296660 1426326 1944990 2139489 2377210 2852652 3565815 3889980 4278978 4754420 7131630 8557956 10697445 14263260 21394890 42789780