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413425125 = 32531721617
BaseRepresentation
bin11000101001000…
…101110111100101
31001210221011122200
4120221011313211
51321314101000
6105005045113
713150025031
oct3051056745
91053834580
10413425125
111a2405463
12b6556799
1367862169
143cc9b1c1
1526466500
hex18a45de5

413425125 has 48 divisors (see below), whose sum is σ = 789143472. Its totient is φ = 207513600.

The previous prime is 413425109. The next prime is 413425139. The reversal of 413425125 is 521524314.

It can be written as a sum of positive squares in 8 ways, for example, as 144432324 + 268992801 = 12018^2 + 16401^2 .

It is not a de Polignac number, because 413425125 - 24 = 413425109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8317 + ... + 29933.

It is an arithmetic number, because the mean of its divisors is an integer number (16440489).

Almost surely, 2413425125 is an apocalyptic number.

413425125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413425125 is a deficient number, since it is larger than the sum of its proper divisors (375718347).

413425125 is a wasteful number, since it uses less digits than its factorization.

413425125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21655 (or 21642 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 413425125 is about 20332.8582594774. The cubic root of 413425125 is about 744.9588584400.

Adding to 413425125 its reverse (521524314), we get a palindrome (934949439).

The spelling of 413425125 in words is "four hundred thirteen million, four hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 19125 21617 64851 108085 194553 324255 367489 540425 972765 1102467 1621275 1837445 2702125 3307401 4863825 5512335 8106375 9187225 16537005 24319125 27561675 45936125 82685025 137808375 413425125