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42770100 = 22352142567
BaseRepresentation
bin1010001100100…
…1111010110100
32222110221112210
42203021322310
541422120400
64124413420
71026353112
oct243117264
988427483
1042770100
112216289a
12123a7270
138b26669
145974ab2
153b4c950
hex28c9eb4

42770100 has 36 divisors (see below), whose sum is σ = 123749024. Its totient is φ = 11405280.

The previous prime is 42770069. The next prime is 42770153. The reversal of 42770100 is 107724.

42770100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 70984 + ... + 71583.

Almost surely, 242770100 is an apocalyptic number.

It is an amenable number.

42770100 is an abundant number, since it is smaller than the sum of its proper divisors (80978924).

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

42770100 is a wasteful number, since it uses less digits than its factorization.

42770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142584 (or 142577 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 42770100 is about 6539.8853200955. The cubic root of 42770100 is about 349.7143247141.

Adding to 42770100 its reverse (107724), we get a palindrome (42877824).

The spelling of 42770100 in words is "forty-two million, seven hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 142567 285134 427701 570268 712835 855402 1425670 1710804 2138505 2851340 3564175 4277010 7128350 8554020 10692525 14256700 21385050 42770100