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2413265625 = 32561312
BaseRepresentation
bin1000111111010111…
…1000001011011001
320020011222121002100
42033311320023121
514420244000000
61035244354013
7113542263561
oct21765701331
96204877070
102413265625
111029253201
12574245909
132c5c81a34
1418c713da1
15e1ce6a00
hex8fd782d9

2413265625 has 63 divisors (see below), whose sum is σ = 4390744579. Its totient is φ = 1277250000.

The previous prime is 2413265623. The next prime is 2413265627. The reversal of 2413265625 is 5265623142.

The square root of 2413265625 is 49125.

It is a perfect power (a square), and thus also a powerful number.

2413265625 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 26 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (2413265623) and next prime (2413265627).

It can be written as a sum of positive squares in 3 ways, for example, as 2114252361 + 299013264 = 45981^2 + 17292^2 .

It is not a de Polignac number, because 2413265625 - 21 = 2413265623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2413265625.

It is not an unprimeable number, because it can be changed into a prime (2413265623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18421810 + ... + 18421940.

Almost surely, 22413265625 is an apocalyptic number.

2413265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2413265625 is the 49125-th square number.

2413265625 is the 24563-rd centered octagonal number.

It is an amenable number.

2413265625 is a deficient number, since it is larger than the sum of its proper divisors (1977478954).

2413265625 is an frugal number, since it uses more digits than its factorization.

2413265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 139 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The cubic root of 2413265625 is about 1341.3281598245.

Multiplying 2413265625 by its sum of digits (36), we get a square (86877562500 = 2947502).

Adding to 2413265625 its reverse (5265623142), we get a palindrome (7678888767).

The spelling of 2413265625 in words is "two billion, four hundred thirteen million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 131 225 375 393 625 655 1125 1179 1875 1965 3125 3275 5625 5895 9375 9825 15625 16375 17161 28125 29475 46875 49125 51483 81875 85805 140625 147375 154449 245625 257415 409375 429025 736875 772245 1228125 1287075 2046875 2145125 3684375 3861225 6140625 6435375 10725625 18421875 19306125 32176875 53628125 96530625 160884375 268140625 482653125 804421875 2413265625