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482222480 = 245371011613
BaseRepresentation
bin11100101111100…
…010000110010000
31020121101102212212
4130233202012100
51441422104410
6115503411252
714643552305
oct3457420620
91217342785
10482222480
11228224983
121155b3b28
1378b9c45c
14480890ac
152c505b05
hex1cbe2190

482222480 has 80 divisors (see below), whose sum is σ = 1163590704. Its totient is φ = 185702400.

The previous prime is 482222471. The next prime is 482222497. The reversal of 482222480 is 84222284.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116035984 + 366186496 = 10772^2 + 19136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 298154 + ... + 299766.

Almost surely, 2482222480 is an apocalyptic number.

482222480 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 482222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581795352).

482222480 is an abundant number, since it is smaller than the sum of its proper divisors (681368224).

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

482222480 is a wasteful number, since it uses less digits than its factorization.

482222480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 482222480 is about 21959.5646587085. The cubic root of 482222480 is about 784.1801005788.

The spelling of 482222480 in words is "four hundred eighty-two million, two hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 101 148 185 202 296 370 404 505 592 740 808 1010 1480 1613 1616 2020 2960 3226 3737 4040 6452 7474 8065 8080 12904 14948 16130 18685 25808 29896 32260 37370 59681 59792 64520 74740 119362 129040 149480 162913 238724 298405 298960 325826 477448 596810 651652 814565 954896 1193620 1303304 1629130 2387240 2606608 3258260 4774480 6027781 6516520 12055562 13033040 24111124 30138905 48222248 60277810 96444496 120555620 241111240 482222480