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4896500625 = 34543112
BaseRepresentation
bin1001000111101101…
…01010101110010001
3110122020122000010000
410203312222232101
540012001010000
62125513000213
7232224366012
oct44366525621
913566560100
104896500625
112092a46435
12b479b3069
13600591363
1434643d009
151d9d10000
hex123daab91

4896500625 has 75 divisors (see below), whose sum is σ = 9169715533. Its totient is φ = 2603070000.

The previous prime is 4896500593. The next prime is 4896500627. The reversal of 4896500625 is 5260056984.

The square root of 4896500625 is 69975.

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

4896500625 is a `hidden beast` number, since 4 + 89 + 6 + 500 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383885649 + 4512614976 = 19593^2 + 67176^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 4896500625 - 25 = 4896500593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4896500627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 15744220 + ... + 15744530.

Almost surely, 24896500625 is an apocalyptic number.

4896500625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4896500625 is the 69975-th square number.

4896500625 is the 34988-th centered octagonal number.

It is an amenable number.

4896500625 is a deficient number, since it is larger than the sum of its proper divisors (4273214908).

4896500625 is an frugal number, since it uses more digits than its factorization.

4896500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 4896500625 is about 1698.0948235824.

It can be divided in two parts, 4896 and 500625, that added together give a square (505521 = 7112).

The spelling of 4896500625 in words is "four billion, eight hundred ninety-six million, five hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 311 375 405 625 675 933 1125 1555 1875 2025 2799 3375 4665 5625 7775 8397 10125 13995 16875 23325 25191 38875 41985 50625 69975 96721 116625 125955 194375 209925 290163 349875 483605 583125 629775 870489 1049625 1450815 1749375 2418025 2611467 3148875 4352445 5248125 7254075 7834401 12090125 13057335 15744375 21762225 36270375 39172005 60450625 65286675 108811125 181351875 195860025 326433375 544055625 979300125 1632166875 4896500625