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4098816484 = 22721722692
BaseRepresentation
bin1111010001001110…
…1111100111100100
3101120122122110011221
43310103233213210
531343244111414
61514415510124
7203400236200
oct36423574744
911518573157
104098816484
111813747544
12964828344
1350423c5c9
142ac517b00
1518ec94224
hexf44ef9e4

4098816484 has 81 divisors (see below), whose sum is σ = 8896789083. Its totient is φ = 1647158016.

The previous prime is 4098816481. The next prime is 4098816511. The reversal of 4098816484 is 4846188904.

The square root of 4098816484 is 64022.

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

It can be written as a sum of positive squares in 4 ways, for example, as 214036900 + 3884779584 = 14630^2 + 62328^2 .

It is not an unprimeable number, because it can be changed into a prime (4098816481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15237102 + ... + 15237370.

Almost surely, 24098816484 is an apocalyptic number.

4098816484 is the 64022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098816484

4098816484 is an abundant number, since it is smaller than the sum of its proper divisors (4797972599).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4098816484 is a wasteful number, since it uses less digits than its factorization.

4098816484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The cubic root of 4098816484 is about 1600.3666456629.

The spelling of 4098816484 in words is "four billion, ninety-eight million, eight hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 269 289 476 538 578 833 1076 1156 1666 1883 2023 3332 3766 4046 4573 7532 8092 9146 13181 14161 18292 26362 28322 32011 52724 56644 64022 72361 77741 128044 144722 155482 224077 289444 310964 448154 506527 544187 896308 1013054 1088374 1230137 2026108 2176748 2460274 3545689 3809309 4920548 7091378 7618618 8610959 14182756 15237236 17221918 20912329 34443836 41824658 60276713 83649316 120553426 146386303 241106852 292772606 585545212 1024704121 2049408242 4098816484