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672736025 = 52132069957
BaseRepresentation
bin101000000110010…
…010001100011001
31201212212112100002
4220012102030121
52334210023100
6150431022345
722446106343
oct5006221431
91655775302
10672736025
11315818595
1216936a9b5
13a94b4870
14654bc293
153e0d92d5
hex28192319

672736025 has 12 divisors (see below), whose sum is σ = 898361772. Its totient is φ = 496789440.

The previous prime is 672736013. The next prime is 672736027. The reversal of 672736025 is 520637276.

672736025 is digitally balanced in base 6, 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 6 ways, for example, as 4048144 + 668687881 = 2012^2 + 25859^2 .

It is not a de Polignac number, because 672736025 - 222 = 668541721 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 672736025.

It is not an unprimeable number, because it can be changed into a prime (672736027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034654 + ... + 1035303.

It is an arithmetic number, because the mean of its divisors is an integer number (74863481).

Almost surely, 2672736025 is an apocalyptic number.

672736025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

672736025 is a deficient number, since it is larger than the sum of its proper divisors (225625747).

672736025 is a wasteful number, since it uses less digits than its factorization.

672736025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069980 (or 2069975 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 672736025 is about 25937.1552989143. The cubic root of 672736025 is about 876.2234965729.

The spelling of 672736025 in words is "six hundred seventy-two million, seven hundred thirty-six thousand, twenty-five".

Divisors: 1 5 13 25 65 325 2069957 10349785 26909441 51748925 134547205 672736025