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482329728 = 27371723
BaseRepresentation
bin11100101111111…
…100010010000000
31020121120220000000
4130233330102000
51441434022403
6115510000000
714644510056
oct3457742200
91217526000
10482329728
11228298511
12115646000
1378c0920a
14480b61d6
152c5277a3
hex1cbfc480

482329728 has 128 divisors (see below), whose sum is σ = 1441953600. Its totient is φ = 160683264.

The previous prime is 482329721. The next prime is 482329741. The reversal of 482329728 is 827923284.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (387072) is a multiple of the sum of its prime divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (482329721) 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, 279075 + ... + 280797.

Almost surely, 2482329728 is an apocalyptic number.

482329728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720976800).

482329728 is an abundant number, since it is smaller than the sum of its proper divisors (959623872).

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

482329728 is an frugal number, since it uses more digits than its factorization.

482329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1728 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 482329728 is about 21962.0064657126. The cubic root of 482329728 is about 784.2382310870.

The spelling of 482329728 in words is "four hundred eighty-two million, three hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1723 1728 1944 2187 2592 2916 3446 3456 3888 4374 5169 5184 5832 6892 7776 8748 10338 10368 11664 13784 15507 15552 17496 20676 23328 27568 31014 31104 34992 41352 46521 46656 55136 62028 69984 82704 93042 93312 110272 124056 139563 139968 165408 186084 220544 248112 279126 279936 330816 372168 418689 496224 558252 661632 744336 837378 992448 1116504 1256067 1488672 1674756 1984896 2233008 2512134 2977344 3349512 3768201 4466016 5024268 5954688 6699024 7536402 8932032 10048536 13398048 15072804 17864064 20097072 26796096 30145608 40194144 53592192 60291216 80388288 120582432 160776576 241164864 482329728