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482421728 = 2529641811
BaseRepresentation
bin11100110000010…
…010101111100000
31020121202120012102
4130300102233200
51441444443403
6115511545532
714645342225
oct3460225740
91217676172
10482421728
11228350648
1211568b2a8
1378c3c059
14480db94c
152c544b88
hex1cc12be0

482421728 has 48 divisors (see below), whose sum is σ = 985264560. Its totient is φ = 232243200.

The previous prime is 482421661. The next prime is 482421763. The reversal of 482421728 is 827124284.

It is a junction number, because it is equal to n+sod(n) for n = 482421691 and 482421700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594443 + ... + 595253.

It is an arithmetic number, because the mean of its divisors is an integer number (20526345).

Almost surely, 2482421728 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 482421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492632280).

482421728 is an abundant number, since it is smaller than the sum of its proper divisors (502842832).

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

482421728 is a wasteful number, since it uses less digits than its factorization.

482421728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 482421728 is about 21964.1008921376. The cubic root of 482421728 is about 784.2880900156.

The spelling of 482421728 in words is "four hundred eighty-two million, four hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 641 811 928 1282 1622 2564 3244 5128 6488 10256 12976 18589 20512 23519 25952 37178 47038 74356 94076 148712 188152 297424 376304 519851 594848 752608 1039702 2079404 4158808 8317616 15075679 16635232 30151358 60302716 120605432 241210864 482421728