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42007221 = 3317711289
BaseRepresentation
bin1010000000111…
…1101010110101
32221001012002000
42200033222311
541223212341
64100205513
71020025014
oct240175265
987035060
1042007221
1121791713
1212099899
13891a359
145816a7b
153a4b8b6
hex280fab5

42007221 has 32 divisors (see below), whose sum is σ = 66873600. Its totient is φ = 25966080.

The previous prime is 42007171. The next prime is 42007243. The reversal of 42007221 is 12270024.

42007221 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 42007221 - 29 = 42006709 is a prime.

It is a super-2 number, since 2×420072212 = 3529213232285682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42007194 and 42007203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007291) 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 31 ways as a sum of consecutive naturals, for example, 31945 + ... + 33233.

It is an arithmetic number, because the mean of its divisors is an integer number (2089800).

Almost surely, 242007221 is an apocalyptic number.

It is an amenable number.

42007221 is a deficient number, since it is larger than the sum of its proper divisors (24866379).

42007221 is a wasteful number, since it uses less digits than its factorization.

42007221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42007221 is about 6481.2977867091. The cubic root of 42007221 is about 347.6225842903.

Adding to 42007221 its reverse (12270024), we get a palindrome (54277245).

The spelling of 42007221 in words is "forty-two million, seven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 51 71 153 213 459 639 1207 1289 1917 3621 3867 10863 11601 21913 32589 34803 65739 91519 197217 274557 591651 823671 1555823 2471013 4667469 14002407 42007221