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7842325 = 52292373
BaseRepresentation
bin11101111010101000010101
3112202102122111
4131322220111
54001423300
6440031021
7123441631
oct35725025
915672574
107842325
114477067
122762471
13181773a
141081dc1
15a4d9ba
hex77aa15

7842325 has 18 divisors (see below), whose sum is σ = 10098374. Its totient is φ = 6041280.

The previous prime is 7842323. The next prime is 7842337. The reversal of 7842325 is 5232487.

It can be written as a sum of positive squares in 9 ways, for example, as 1726596 + 6115729 = 1314^2 + 2473^2 .

It is not a de Polignac number, because 7842325 - 21 = 7842323 is a prime.

It is a super-2 number, since 2×78423252 = 123004122811250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 77 + 82 + 46 + 214 + 314 + 218 + 59 .

It is a Duffinian number.

7842325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842323) 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 17 ways as a sum of consecutive naturals, for example, 20839 + ... + 21211.

Almost surely, 27842325 is an apocalyptic number.

It is an amenable number.

7842325 is a deficient number, since it is larger than the sum of its proper divisors (2256049).

7842325 is a wasteful number, since it uses less digits than its factorization.

7842325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 407 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 7842325 is about 2800.4151477951. The cubic root of 7842325 is about 198.6773134518.

The spelling of 7842325 in words is "seven million, eight hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 5 25 29 145 373 725 841 1865 4205 9325 10817 21025 54085 270425 313693 1568465 7842325