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8790375049 = 292532612
BaseRepresentation
bin10000010111111001…
…00111101010001001
3211200121122022122021
420023330213222021
5121000314000144
64012132124441
7430555645411
oct101374475211
924617568567
108790375049
113800a34975
121853a66721
13aa1206071
145d5649641
15366ac0884
hex20bf27a89

8790375049 has 27 divisors (see below), whose sum is σ = 9433564959. Its totient is φ = 8190611520.

The previous prime is 8790375043. The next prime is 8790375053. The reversal of 8790375049 is 9405730978.

The square root of 8790375049 is 93757.

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

8790375049 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 13 ways, for example, as 7232652025 + 1557723024 = 85045^2 + 39468^2 .

It is a de Polignac number, because none of the positive numbers 2k-8790375049 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8790374987 and 8790375005.

It is not an unprimeable number, because it can be changed into a prime (8790375043) 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 26 ways as a sum of consecutive naturals, for example, 144104479 + ... + 144104539.

Almost surely, 28790375049 is an apocalyptic number.

8790375049 is the 93757-th square number.

8790375049 is the 46879-th centered octagonal number.

It is an amenable number.

8790375049 is a deficient number, since it is larger than the sum of its proper divisors (643189910).

8790375049 is an frugal number, since it uses more digits than its factorization.

8790375049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The cubic root of 8790375049 is about 2063.8072559063.

The spelling of 8790375049 in words is "eight billion, seven hundred ninety million, three hundred seventy-five thousand, forty-nine".

Divisors: 1 29 53 61 841 1537 1769 2809 3233 3721 44573 51301 81461 93757 107909 171349 197213 2362369 2718953 3129361 4969121 5719177 10452289 144104509 165856133 303116381 8790375049