Search a number
-
+
42572079 = 3211487883
BaseRepresentation
bin1010001001100…
…1100100101111
32222002212220200
42202121210233
541344301304
64120244543
71024566564
oct242314457
988085820
1042572079
1122038040
1212310753
138a874a4
14592286b
153b0de39
hex289992f

42572079 has 24 divisors (see below), whose sum is σ = 67297152. Its totient is φ = 25719120.

The previous prime is 42572077. The next prime is 42572081. The reversal of 42572079 is 97027524.

42572079 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 (42572077) and next prime (42572081).

It is not a de Polignac number, because 42572079 - 21 = 42572077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42572071) 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, 47772 + ... + 48654.

It is an arithmetic number, because the mean of its divisors is an integer number (2804048).

Almost surely, 242572079 is an apocalyptic number.

42572079 is a deficient number, since it is larger than the sum of its proper divisors (24725073).

42572079 is a wasteful number, since it uses less digits than its factorization.

42572079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 42572079 is about 6524.7282702041. The cubic root of 42572079 is about 349.1737762888.

Subtracting 42572079 from its reverse (97027524), we obtain a palindrome (54455445).

It can be divided in two parts, 4257 and 2079, that added together give a palindrome (6336).

The spelling of 42572079 in words is "forty-two million, five hundred seventy-two thousand, seventy-nine".

Divisors: 1 3 9 11 33 99 487 883 1461 2649 4383 5357 7947 9713 16071 29139 48213 87417 430021 1290063 3870189 4730231 14190693 42572079