Search a number
-
+
38242071 = 337202339
BaseRepresentation
bin1001000111100…
…0011100010111
32122221220021000
42101320130113
534242221241
63443354343
7643023630
oct221703427
978856230
1038242071
111a64a91a
12109829b3
137bcc65a
145116887
153555eb6
hex2478717

38242071 has 16 divisors (see below), whose sum is σ = 64748800. Its totient is φ = 21852504.

The previous prime is 38242063. The next prime is 38242081. The reversal of 38242071 is 17024283.

38242071 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 38242071 - 23 = 38242063 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38242021) 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, 100981 + ... + 101358.

It is an arithmetic number, because the mean of its divisors is an integer number (4046800).

Almost surely, 238242071 is an apocalyptic number.

38242071 is a deficient number, since it is larger than the sum of its proper divisors (26506729).

38242071 is a wasteful number, since it uses less digits than its factorization.

38242071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202355 (or 202349 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38242071 is about 6184.0173835461. The cubic root of 38242071 is about 336.9099220076.

The spelling of 38242071 in words is "thirty-eight million, two hundred forty-two thousand, seventy-one".

Divisors: 1 3 7 9 21 27 63 189 202339 607017 1416373 1821051 4249119 5463153 12747357 38242071