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42840768 = 263223129
BaseRepresentation
bin1010001101101…
…1001011000000
32222121112111010
42203123023000
541431401033
64130120520
71030066125
oct243331300
988545433
1042840768
11222009a3
1212420140
138b4c889
14599274c
153b63863
hex28db2c0

42840768 has 28 divisors (see below), whose sum is σ = 113350040. Its totient is φ = 14280192.

The previous prime is 42840757. The next prime is 42840769. The reversal of 42840768 is 86704824.

It is not an unprimeable number, because it can be changed into a prime (42840769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111373 + ... + 111756.

Almost surely, 242840768 is an apocalyptic number.

42840768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42840768 is an abundant number, since it is smaller than the sum of its proper divisors (70509272).

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

42840768 is a wasteful number, since it uses less digits than its factorization.

42840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223144 (or 223134 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 42840768 is about 6545.2859372223. The cubic root of 42840768 is about 349.9068268994.

The spelling of 42840768 in words is "forty-two million, eight hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223129 446258 669387 892516 1338774 1785032 2677548 3570064 5355096 7140128 10710192 14280256 21420384 42840768