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482439408 = 24311941971
BaseRepresentation
bin11100110000010…
…111000011110000
31020121210110110020
4130300113003300
51442001030113
6115512203440
714645444613
oct3460270360
91217713406
10482439408
11228362960
12115699580
1378c47109
144810417a
152c54a023
hex1cc170f0

482439408 has 80 divisors (see below), whose sum is σ = 1362448512. Its totient is φ = 145888000.

The previous prime is 482439383. The next prime is 482439449. The reversal of 482439408 is 804934284.

It is a self number, because there is not a number n which added to its sum of digits gives 482439408.

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 15 ways as a sum of consecutive naturals, for example, 496363 + ... + 497333.

Almost surely, 2482439408 is an apocalyptic number.

482439408 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 482439408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681224256).

482439408 is an abundant number, since it is smaller than the sum of its proper divisors (880009104).

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

482439408 is a wasteful number, since it uses less digits than its factorization.

482439408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 482439408 is about 21964.5033633816. The cubic root of 482439408 is about 784.2976708748.

The spelling of 482439408 in words is "four hundred eighty-two million, four hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 941 971 1882 1942 2823 2913 3764 3884 5646 5826 7528 7768 10351 10681 11292 11652 15056 15536 20702 21362 22584 23304 31053 32043 41404 42724 45168 46608 62106 64086 82808 85448 124212 128172 165616 170896 248424 256344 496848 512688 913711 1827422 2741133 3654844 5482266 7309688 10050821 10964532 14619376 20101642 21929064 30152463 40203284 43858128 60304926 80406568 120609852 160813136 241219704 482439408