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7413825 = 352412411
BaseRepresentation
bin11100010010000001000001
3111221122212010
4130102001001
53344220300
6422523133
7120005436
oct34220101
914848763
107413825
114204131
1225964a9
1316c76a3
14dadb8d
159b6a50
hex712041

7413825 has 24 divisors (see below), whose sum is σ = 12561696. Its totient is φ = 3856000.

The previous prime is 7413811. The next prime is 7413839. The reversal of 7413825 is 5283147.

It is an interprime number because it is at equal distance from previous prime (7413811) and next prime (7413839).

It is not a de Polignac number, because 7413825 - 26 = 7413761 is a prime.

It is a super-2 number, since 2×74138252 = 109929602261250, which contains 22 as substring.

7413825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7413792 and 7413801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (523404).

Almost surely, 27413825 is an apocalyptic number.

7413825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7413825 is a deficient number, since it is larger than the sum of its proper divisors (5147871).

7413825 is a wasteful number, since it uses less digits than its factorization.

7413825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2460 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 7413825 is about 2722.8340015506. The cubic root of 7413825 is about 194.9907950947.

The spelling of 7413825 in words is "seven million, four hundred thirteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 205 615 1025 2411 3075 7233 12055 36165 60275 98851 180825 296553 494255 1482765 2471275 7413825