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42780816 = 24321322853
BaseRepresentation
bin1010001100110…
…0100010010000
32222111111020200
42203030202100
541422441231
64124535200
71026426261
oct243144220
988444220
1042780816
112216a951
12123b1500
138b2b4c0
145978968
153b50be6
hex28cc890

42780816 has 60 divisors (see below), whose sum is σ = 128942268. Its totient is φ = 13162752.

The previous prime is 42780811. The next prime is 42780863. The reversal of 42780816 is 61808724.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 36000000 = 2604^2 + 6000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42780811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9555 + ... + 13298.

Almost surely, 242780816 is an apocalyptic number.

It is an amenable number.

42780816 is an abundant number, since it is smaller than the sum of its proper divisors (86161452).

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

42780816 is a wasteful number, since it uses less digits than its factorization.

42780816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22880 (or 22871 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42780816 is about 6540.7045492057. The cubic root of 42780816 is about 349.7435291175.

The spelling of 42780816 in words is "forty-two million, seven hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 22853 45706 68559 91412 137118 182824 205677 274236 297089 365648 411354 548472 594178 822708 891267 1096944 1188356 1645416 1782534 2376712 2673801 3290832 3565068 4753424 5347602 7130136 10695204 14260272 21390408 42780816