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42153125 = 5574147
BaseRepresentation
bin1010000011001…
…1010010100101
32221022121012212
42200303102211
541242400000
64103253205
71021203260
oct240632245
987277185
1042153125
11218812a3
121214a205
13896b8a1
145853cd7
153a79c35
hex28334a5

42153125 has 48 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 27600000.

The previous prime is 42153121. The next prime is 42153131. The reversal of 42153125 is 52135124.

It is not a de Polignac number, because 42153125 - 22 = 42153121 is a prime.

42153125 is a Rhonda number in base 10.

Its product of digits (1200) is a multiple of the sum of its prime divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 42153125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42153121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896852 + ... + 896898.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 242153125 is an apocalyptic number.

It is an amenable number.

42153125 is a deficient number, since it is larger than the sum of its proper divisors (20842843).

42153125 is an frugal number, since it uses more digits than its factorization.

42153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 42153125 is about 6492.5438003913. The cubic root of 42153125 is about 348.0245859452.

Adding to 42153125 its reverse (52135124), we get a palindrome (94288249).

The spelling of 42153125 in words is "forty-two million, one hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 41 47 125 175 205 235 287 329 625 875 1025 1175 1435 1645 1927 3125 4375 5125 5875 7175 8225 9635 13489 21875 25625 29375 35875 41125 48175 67445 128125 146875 179375 205625 240875 337225 896875 1028125 1204375 1686125 6021875 8430625 42153125