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484706560 = 2851329129
BaseRepresentation
bin11100111001000…
…000100100000000
31020210001122101211
4130321000210000
51443041102220
6120032535504
715003636442
oct3471004400
91223048354
10484706560
11229671238
121163b1594
137955c020
1448534492
152c846b5a
hex1ce40900

484706560 has 72 divisors (see below), whose sum is σ = 1250376120. Its totient is φ = 178962432.

The previous prime is 484706543. The next prime is 484706561. The reversal of 484706560 is 65607484.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 484704256 = 48^2 + 22016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (484706561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2076 + ... + 31204.

It is an arithmetic number, because the mean of its divisors is an integer number (17366335).

Almost surely, 2484706560 is an apocalyptic number.

484706560 is a gapful number since it is divisible by the number (40) 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 484706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625188060).

484706560 is an abundant number, since it is smaller than the sum of its proper divisors (765669560).

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

484706560 is a wasteful number, since it uses less digits than its factorization.

484706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29163 (or 29149 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 484706560 is about 22016.0523255192. The cubic root of 484706560 is about 785.5243146862.

The spelling of 484706560 in words is "four hundred eighty-four million, seven hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 29129 58258 116516 145645 233032 291290 378677 466064 582580 757354 932128 1165160 1514708 1864256 1893385 2330320 3029416 3728512 3786770 4660640 6058832 7457024 7573540 9321280 12117664 15147080 18642560 24235328 30294160 37285120 48470656 60588320 96941312 121176640 242353280 484706560