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484008448 = 2971112277
BaseRepresentation
bin11100110110010…
…110001000000000
31020201202011202211
4130312112020000
51442401232243
6120005551504
714665001230
oct3466261000
91221664684
10484008448
11229234790
12116115594
1379376341
14483d1cc0
152c759d9d
hex1cd96200

484008448 has 80 divisors (see below), whose sum is σ = 1205797824. Its totient is φ = 188559360.

The previous prime is 484008443. The next prime is 484008457. The reversal of 484008448 is 844800484.

It is a self number, because there is not a number n which added to its sum of digits gives 484008448.

It is not an unprimeable number, because it can be changed into a prime (484008443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33286 + ... + 45562.

Almost surely, 2484008448 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 484008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602898912).

484008448 is an abundant number, since it is smaller than the sum of its proper divisors (721789376).

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

484008448 is a wasteful number, since it uses less digits than its factorization.

484008448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 484008448 is about 22000.1919991622. The cubic root of 484008448 is about 785.1470091289.

The spelling of 484008448 in words is "four hundred eighty-four million, eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 12277 19712 24554 39424 49108 85939 98216 135047 171878 196432 270094 343756 392864 540188 687512 785728 945329 1080376 1375024 1571456 1890658 2160752 2750048 3142912 3781316 4321504 5500096 6285824 7562632 8643008 11000192 15125264 17286016 22000384 30250528 34572032 44000768 60501056 69144064 121002112 242004224 484008448