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42807138 = 2311258963
BaseRepresentation
bin1010001101001…
…0111101100010
32222112211100120
42203102331202
541424312023
64125301110
71026566103
oct243227542
988484316
1042807138
1122188700
1212404796
138b3a48a
1459843aa
153b588e3
hex28d2f62

42807138 has 24 divisors (see below), whose sum is σ = 94106544. Its totient is φ = 12971640.

The previous prime is 42807137. The next prime is 42807179. The reversal of 42807138 is 83170824.

42807138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×428071384 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42807099 and 42807108.

It is not an unprimeable number, because it can be changed into a prime (42807137) 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 11 ways as a sum of consecutive naturals, for example, 28756 + ... + 30207.

It is an arithmetic number, because the mean of its divisors is an integer number (3921106).

Almost surely, 242807138 is an apocalyptic number.

42807138 is an abundant number, since it is smaller than the sum of its proper divisors (51299406).

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

42807138 is a wasteful number, since it uses less digits than its factorization.

42807138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58990 (or 58979 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 42807138 is about 6542.7164083429. The cubic root of 42807138 is about 349.8152439858.

The spelling of 42807138 in words is "forty-two million, eight hundred seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 58963 117926 176889 353778 648593 1297186 1945779 3891558 7134523 14269046 21403569 42807138