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42133068 = 22333671063
BaseRepresentation
bin1010000010111…
…0011001001100
32221021120201000
42200232121030
541241224233
64103020300
71021060635
oct240563114
987246630
1042133068
112186821a
121213a690
138962713
14584a88c
153a73d13
hex282e64c

42133068 has 48 divisors (see below), whose sum is σ = 109634560. Its totient is φ = 13992912.

The previous prime is 42133057. The next prime is 42133073. The reversal of 42133068 is 86033124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39105 + ... + 40167.

Almost surely, 242133068 is an apocalyptic number.

It is an amenable number.

42133068 is an abundant number, since it is smaller than the sum of its proper divisors (67501492).

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

42133068 is a wasteful number, since it uses less digits than its factorization.

42133068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42133068 is about 6490.9989986134. The cubic root of 42133068 is about 347.9693789942.

It can be divided in two parts, 421 and 33068, that added together give a square (33489 = 1832).

The spelling of 42133068 in words is "forty-two million, one hundred thirty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 367 734 1063 1101 1468 2126 2202 3189 3303 4252 4404 6378 6606 9567 9909 12756 13212 19134 19818 28701 38268 39636 57402 114804 390121 780242 1170363 1560484 2340726 3511089 4681452 7022178 10533267 14044356 21066534 42133068