Search a number
-
+
42253164 = 2234130411
BaseRepresentation
bin1010000100101…
…1101101101100
32221111200110000
42201023231230
541304100124
64105344300
71022101032
oct241135554
987450400
1042253164
112193a478
1212198090
1389a5295
14587c552
153a996c9
hex284bb6c

42253164 has 30 divisors (see below), whose sum is σ = 110458964. Its totient is φ = 14084280.

The previous prime is 42253163. The next prime is 42253199. The reversal of 42253164 is 46135224.

42253164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42253163) 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 9 ways as a sum of consecutive naturals, for example, 64882 + ... + 65529.

Almost surely, 242253164 is an apocalyptic number.

It is an amenable number.

42253164 is an abundant number, since it is smaller than the sum of its proper divisors (68205800).

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

42253164 is a wasteful number, since it uses less digits than its factorization.

42253164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130427 (or 130416 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42253164 is about 6500.2433800589. The cubic root of 42253164 is about 348.2996823995.

Adding to 42253164 its reverse (46135224), we get a palindrome (88388388).

The spelling of 42253164 in words is "forty-two million, two hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 130411 260822 391233 521644 782466 1173699 1564932 2347398 3521097 4694796 7042194 10563291 14084388 21126582 42253164