Search a number
-
+
2980248453 = 3274131032
BaseRepresentation
bin1011000110100010…
…1111101110000101
321200200212022022100
42301220233232011
522100420422303
61211421022313
7133565460000
oct26150575605
97620768270
102980248453
11129a2aa856
126b20b4999
1338658a230
14203b44537
151269918a3
hexb1a2fb85

2980248453 has 90 divisors (see below), whose sum is σ = 5461294566. Its totient is φ = 1556737056.

The previous prime is 2980248451. The next prime is 2980248463. The reversal of 2980248453 is 3548420892.

It can be written as a sum of positive squares in only one way, i.e., 2063248929 + 916999524 = 45423^2 + 30282^2 .

It is not a de Polignac number, because 2980248453 - 21 = 2980248451 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2980248399 and 2980248408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980248451) 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 89 ways as a sum of consecutive naturals, for example, 28934400 + ... + 28934502.

Almost surely, 22980248453 is an apocalyptic number.

It is an amenable number.

2980248453 is a deficient number, since it is larger than the sum of its proper divisors (2481046113).

2980248453 is an equidigital number, since it uses as much as digits as its factorization.

2980248453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2980248453 is about 54591.6518618003. The cubic root of 2980248453 is about 1439.0774139584.

The spelling of 2980248453 in words is "two billion, nine hundred eighty million, two hundred forty-eight thousand, four hundred fifty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 103 117 147 273 309 343 441 637 721 819 927 1029 1339 1911 2163 2401 3087 4017 4459 5047 5733 6489 7203 9373 10609 12051 13377 15141 21609 28119 31213 31827 35329 40131 45423 65611 74263 84357 93639 95481 105987 137917 196833 222789 247303 280917 317961 413751 459277 519841 590499 668367 741909 965419 1241253 1377831 1559523 2225727 2896257 3214939 3638887 4133493 4678569 6757933 8688771 9644817 10916661 20273799 25472209 28934451 32749983 47305531 60821397 76416627 141916593 229249881 331138717 425749779 993416151 2980248453