Search a number
-
+
42753880 = 2351382219
BaseRepresentation
bin1010001100010…
…1111101011000
32222110010022001
42203011331120
541421111010
64124210344
71026254611
oct243057530
988403261
1042753880
1122151694
12123999b4
138b1c170
14596cc08
153b47c3a
hex28c5f58

42753880 has 32 divisors (see below), whose sum is σ = 103597200. Its totient is φ = 15785856.

The previous prime is 42753877. The next prime is 42753899. The reversal of 42753880 is 8835724.

42753880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 40590 + ... + 41629.

Almost surely, 242753880 is an apocalyptic number.

42753880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42753880 is an abundant number, since it is smaller than the sum of its proper divisors (60843320).

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

42753880 is a wasteful number, since it uses less digits than its factorization.

42753880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82243 (or 82239 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 42753880 is about 6538.6451195947. The cubic root of 42753880 is about 349.6701109327.

The spelling of 42753880 in words is "forty-two million, seven hundred fifty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 82219 164438 328876 411095 657752 822190 1068847 1644380 2137694 3288760 4275388 5344235 8550776 10688470 21376940 42753880