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4830764445 = 3251327972
BaseRepresentation
bin1000111111110111…
…11001110110011101
3110110122221021000200
410133323321312131
534343133430240
62115204014113
7230465551233
oct43773716635
913418837020
104830764445
112059927911
12b29991339
135bca86500
1433b80a953
151d4177930
hex11fef9d9d

4830764445 has 54 divisors (see below), whose sum is σ = 9078363918. Its totient is φ = 2375238528.

The previous prime is 4830764413. The next prime is 4830764461. The reversal of 4830764445 is 5444670384.

It can be written as a sum of positive squares in 9 ways, for example, as 2818972836 + 2011791609 = 53094^2 + 44853^2 .

It is not a de Polignac number, because 4830764445 - 25 = 4830764413 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4830764445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6060787 + ... + 6061583.

Almost surely, 24830764445 is an apocalyptic number.

4830764445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4830764445 is a deficient number, since it is larger than the sum of its proper divisors (4247599473).

4830764445 is an equidigital number, since it uses as much as digits as its factorization.

4830764445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4830764445 is about 69503.7009446260. The cubic root of 4830764445 is about 1690.4615110384.

Multiplying 4830764445 by its sum of digits (45), we get a square (217384400025 = 4662452).

4830764445 divided by its sum of digits (45) gives a square (107350321 = 103612).

The spelling of 4830764445 in words is "four billion, eight hundred thirty million, seven hundred sixty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 797 845 1521 2391 2535 3985 7173 7605 10361 11955 31083 35865 51805 93249 134693 155415 404079 466245 635209 673465 1212237 1905627 2020395 3176045 5716881 6061185 8257717 9528135 24773151 28584405 41288585 74319453 107350321 123865755 322050963 371597265 536751605 966152889 1610254815 4830764445