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42847968 = 253446333
BaseRepresentation
bin1010001101110…
…0111011100000
32222121220100210
42203130323200
541432113333
64130214120
71030126122
oct243347340
988556323
1042847968
1122206349
1212424340
138b52c37
145995212
153b65a63
hex28dcee0

42847968 has 24 divisors (see below), whose sum is σ = 112476168. Its totient is φ = 14282624.

The previous prime is 42847967. The next prime is 42847979. The reversal of 42847968 is 86974824.

42847968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42847963) 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 3 ways as a sum of consecutive naturals, for example, 223071 + ... + 223262.

It is an arithmetic number, because the mean of its divisors is an integer number (4686507).

Almost surely, 242847968 is an apocalyptic number.

42847968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42847968 is an abundant number, since it is smaller than the sum of its proper divisors (69628200).

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

42847968 is a wasteful number, since it uses less digits than its factorization.

42847968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446346 (or 446338 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 42847968 is about 6545.8359282830. The cubic root of 42847968 is about 349.9264280733.

The spelling of 42847968 in words is "forty-two million, eight hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 446333 892666 1338999 1785332 2677998 3570664 5355996 7141328 10711992 14282656 21423984 42847968