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3603000625 = 5478
BaseRepresentation
bin1101011011000001…
…0110110100110001
3100022002200101200121
43112300112310301
524334332010000
61353304450241
7155200000000
oct32660266461
910262611617
103603000625
111589888774
12846779981
134555c0b43
14262730c37
151614a5b1a
hexd6c16d31

3603000625 has 45 divisors (see below), whose sum is σ = 5252694381. Its totient is φ = 2470629000.

The previous prime is 3603000619. The next prime is 3603000641. The reversal of 3603000625 is 5260003063.

The square root of 3603000625 is 60025.

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

3603000625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 282475249 + 3320525376 = 16807^2 + 57624^2 .

It is not a de Polignac number, because 3603000625 - 27 = 3603000497 is a prime.

It is a super-2 number, since 2×36030006252 = 25963227007500781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 3603000625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 514714372 + ... + 514714378.

Almost surely, 23603000625 is an apocalyptic number.

3603000625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3603000625 is the 60025-th square number.

3603000625 is the 30013-rd centered octagonal number.

It is an amenable number.

3603000625 is a deficient number, since it is larger than the sum of its proper divisors (1649693756).

3603000625 is an frugal number, since it uses more digits than its factorization.

3603000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The cubic root of 3603000625 is about 1533.0445626906.

Multiplying 3603000625 by its sum of digits (25), we get a square (90075015625 = 3001252).

3603000625 divided by its sum of digits (25) gives a square (144120025 = 120052).

Adding to 3603000625 its reverse (5260003063), we get a palindrome (8863003688).

The spelling of 3603000625 in words is "three billion, six hundred three million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 25 35 49 125 175 245 343 625 875 1225 1715 2401 4375 6125 8575 12005 16807 30625 42875 60025 84035 117649 214375 300125 420175 588245 823543 1500625 2100875 2941225 4117715 5764801 10504375 14706125 20588575 28824005 73530625 102942875 144120025 514714375 720600125 3603000625