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2448124968 = 2332321121019
BaseRepresentation
bin1001000111101011…
…0110110000101000
320022121120122010010
42101322312300220
520003204444333
61042531451520
7114444501402
oct22172666050
96277518103
102448124968
1110469a2583
12583a56ba0
13300268773
141931c9b72
15e4dd0563
hex91eb6c28

2448124968 has 64 divisors (see below), whose sum is σ = 6416985600. Its totient is φ = 776825280.

The previous prime is 2448124957. The next prime is 2448124969. The reversal of 2448124968 is 8694218442.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2448124969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105963 + ... + 126981.

It is an arithmetic number, because the mean of its divisors is an integer number (100265400).

Almost surely, 22448124968 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 2448124968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208492800).

2448124968 is an abundant number, since it is smaller than the sum of its proper divisors (3968860632).

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

2448124968 is a wasteful number, since it uses less digits than its factorization.

2448124968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21258 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 2448124968 is about 49478.5303742947. The cubic root of 2448124968 is about 1347.7557532506.

The spelling of 2448124968 in words is "two billion, four hundred forty-eight million, one hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 211 276 422 552 633 844 1266 1688 2532 4853 5064 9706 14559 19412 21019 29118 38824 42038 58236 63057 84076 116472 126114 168152 252228 483437 504456 966874 1450311 1933748 2900622 3867496 4435009 5801244 8870018 11602488 13305027 17740036 26610054 35480072 53220108 102005207 106440216 204010414 306015621 408020828 612031242 816041656 1224062484 2448124968