Search a number
-
+
1110482048 = 2713412397
BaseRepresentation
bin100001000110000…
…1001110010000000
32212101120022222202
41002030021302000
54233240411143
6302105252332
736342640664
oct10214116200
92771508882
101110482048
1151a924665
1226ba940a8
131490b0a90
14a76aa8a4
1567756ab8
hex42309c80

1110482048 has 96 divisors (see below), whose sum is σ = 2448141780. Its totient is φ = 498769920.

The previous prime is 1110482039. The next prime is 1110482057. The reversal of 1110482048 is 8402840111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1110482039) and next prime (1110482057).

It can be written as a sum of positive squares in 6 ways, for example, as 14077504 + 1096404544 = 3752^2 + 33112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1110482048.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2796986 + ... + 2797382.

Almost surely, 21110482048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224070890).

1110482048 is an abundant number, since it is smaller than the sum of its proper divisors (1337659732).

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

1110482048 is an equidigital number, since it uses as much as digits as its factorization.

1110482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 1110482048 is about 33323.8960507321. The cubic root of 1110482048 is about 1035.5486672171.

The spelling of 1110482048 in words is "one billion, one hundred ten million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 397 416 533 656 794 832 1066 1312 1588 1664 1681 2132 2624 3176 3362 4264 5161 5248 6352 6724 8528 10322 12704 13448 16277 17056 20644 21853 25408 26896 32554 34112 41288 43706 50816 53792 65108 68224 82576 87412 107584 130216 165152 174824 211601 215168 260432 330304 349648 423202 520864 660608 667357 699296 846404 1041728 1334714 1398592 1692808 2083456 2669428 2797184 3385616 5338856 6771232 8675641 10677712 13542464 17351282 21355424 27084928 34702564 42710848 69405128 85421696 138810256 277620512 555241024 1110482048