Search a number
-
+
42007505 = 571241491
BaseRepresentation
bin1010000000111…
…1101111010001
32221001012110112
42200033233101
541223220010
64100211105
71020025601
oct240175721
987035415
1042007505
1121791951
1212099a95
13891a517
145816c01
153a4ba05
hex280fbd1

42007505 has 16 divisors (see below), whose sum is σ = 51435648. Its totient is φ = 32928000.

The previous prime is 42007501. The next prime is 42007523. The reversal of 42007505 is 50570024.

42007505 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 42007505 - 22 = 42007501 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42007501) 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, 85310 + ... + 85800.

It is an arithmetic number, because the mean of its divisors is an integer number (3214728).

Almost surely, 242007505 is an apocalyptic number.

It is an amenable number.

42007505 is a deficient number, since it is larger than the sum of its proper divisors (9428143).

42007505 is a wasteful number, since it uses less digits than its factorization.

42007505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 42007505 is about 6481.3196958644. The cubic root of 42007505 is about 347.6233676841.

Adding to 42007505 its reverse (50570024), we get a palindrome (92577529).

The spelling of 42007505 in words is "forty-two million, seven thousand, five hundred five".

Divisors: 1 5 71 241 355 491 1205 2455 17111 34861 85555 118331 174305 591655 8401501 42007505