Search a number
-
+
42190757 = 7103163359
BaseRepresentation
bin1010000011110…
…0011110100101
32221101111211122
42200330132211
541300101012
64104143325
71021421060
oct240743645
987344748
1042190757
11218a75a4
1212167b45
138982a5b
1458638d7
153a85e72
hex283c7a5

42190757 has 16 divisors (see below), whose sum is σ = 49121280. Its totient is φ = 35493552.

The previous prime is 42190751. The next prime is 42190769. The reversal of 42190757 is 75709124.

42190757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42190757 - 216 = 42125221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42190751) 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, 117344 + ... + 117702.

It is an arithmetic number, because the mean of its divisors is an integer number (3070080).

Almost surely, 242190757 is an apocalyptic number.

It is an amenable number.

42190757 is a deficient number, since it is larger than the sum of its proper divisors (6930523).

42190757 is a wasteful number, since it uses less digits than its factorization.

42190757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 42190757 is about 6495.4412475212. The cubic root of 42190757 is about 348.1281209007.

The spelling of 42190757 in words is "forty-two million, one hundred ninety thousand, seven hundred fifty-seven".

Divisors: 1 7 103 163 359 721 1141 2513 16789 36977 58517 117523 258839 409619 6027251 42190757