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42972293 = 7133115233
BaseRepresentation
bin1010001111101…
…1010010000101
32222212012220102
42203323102011
542000103133
64133013445
71031154440
oct243732205
988765812
1042972293
11222907a1
1212484285
138b976c0
1459c8657
153b8c7e8
hex28fb485

42972293 has 16 divisors (see below), whose sum is σ = 54598656. Its totient is φ = 32901120.

The previous prime is 42972289. The next prime is 42972299. The reversal of 42972293 is 39227924.

42972293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42972293 - 22 = 42972289 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42972299) 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 15 ways as a sum of consecutive naturals, for example, 4796 + ... + 10437.

It is an arithmetic number, because the mean of its divisors is an integer number (3412416).

Almost surely, 242972293 is an apocalyptic number.

It is an amenable number.

42972293 is a deficient number, since it is larger than the sum of its proper divisors (11626363).

42972293 is a wasteful number, since it uses less digits than its factorization.

42972293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284.

The product of its digits is 54432, while the sum is 38.

The square root of 42972293 is about 6555.3255449291. The cubic root of 42972293 is about 350.2645428556.

The spelling of 42972293 in words is "forty-two million, nine hundred seventy-two thousand, two hundred ninety-three".

Divisors: 1 7 13 31 91 217 403 2821 15233 106631 198029 472223 1386203 3305561 6138899 42972293