Search a number
-
+
42853930 = 2572194603
BaseRepresentation
bin1010001101111…
…0011000101010
32222122012112121
42203132120222
541432311210
64130301454
71030152400
oct243363052
988565477
1042853930
112220a879
121242788a
138b55872
145997470
153b676da
hex28de62a

42853930 has 48 divisors (see below), whose sum is σ = 94474080. Its totient is φ = 13916448.

The previous prime is 42853927. The next prime is 42853933. The reversal of 42853930 is 3935824.

It is a happy number.

42853930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42853927) and next prime (42853933).

It is not an unprimeable number, because it can be changed into a prime (42853933) 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 23 ways as a sum of consecutive naturals, for example, 7009 + ... + 11611.

It is an arithmetic number, because the mean of its divisors is an integer number (1968210).

Almost surely, 242853930 is an apocalyptic number.

42853930 is an abundant number, since it is smaller than the sum of its proper divisors (51620150).

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

42853930 is a wasteful number, since it uses less digits than its factorization.

42853930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 42853930 is about 6546.2913164631. The cubic root of 42853930 is about 349.9426572724.

The spelling of 42853930 in words is "forty-two million, eight hundred fifty-three thousand, nine hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 490 665 931 1330 1862 4603 4655 9206 9310 23015 32221 46030 64442 87457 161105 174914 225547 322210 437285 451094 612199 874570 1127735 1224398 2255470 3060995 4285393 6121990 8570786 21426965 42853930