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42638355 = 3251635813
BaseRepresentation
bin1010001010100…
…1110000010011
32222020020211100
42202221300103
541403411410
64121515443
71025264034
oct242516023
988206740
1042638355
1122082911
1212342b83
138aab6c6
14593ca8b
153b238c0
hex28a9c13

42638355 has 24 divisors (see below), whose sum is σ = 74372688. Its totient is φ = 22597056.

The previous prime is 42638339. The next prime is 42638359. The reversal of 42638355 is 55383624.

It is a happy number.

It is not a de Polignac number, because 42638355 - 24 = 42638339 is a prime.

It is a super-3 number, since 3×426383553 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42638359) 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 23 ways as a sum of consecutive naturals, for example, 4429 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (3098862).

Almost surely, 242638355 is an apocalyptic number.

42638355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42638355 is a deficient number, since it is larger than the sum of its proper divisors (31734333).

42638355 is a wasteful number, since it uses less digits than its factorization.

42638355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5984 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42638355 is about 6529.8051272607. The cubic root of 42638355 is about 349.3548796714.

It can be divided in two parts, 426 and 38355, that added together give a triangular number (38781 = T278).

The spelling of 42638355 in words is "forty-two million, six hundred thirty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 45 163 489 815 1467 2445 5813 7335 17439 29065 52317 87195 261585 947519 2842557 4737595 8527671 14212785 42638355