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482841408 = 26371013557
BaseRepresentation
bin11100110001111…
…001001101000000
31020122112212220010
4130301321031000
51442101411113
6115524544520
714652040620
oct3461711500
91218485803
10482841408
11228607995
12115852140
137905809a
14481aa880
152c5c91c3
hex1cc79340

482841408 has 112 divisors (see below), whose sum is σ = 1474890624. Its totient is φ = 136550400.

The previous prime is 482841377. The next prime is 482841409. The reversal of 482841408 is 804148284.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482841409) by changing a digit.

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, 133966 + ... + 137522.

Almost surely, 2482841408 is an apocalyptic number.

482841408 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 482841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737445312).

482841408 is an abundant number, since it is smaller than the sum of its proper divisors (992049216).

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

482841408 is a wasteful number, since it uses less digits than its factorization.

482841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 482841408 is about 21973.6525866775. The cubic root of 482841408 is about 784.5154530641.

The spelling of 482841408 in words is "four hundred eighty-two million, eight hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1212 1344 1414 1616 2121 2424 2828 3232 3557 4242 4848 5656 6464 7114 8484 9696 10671 11312 14228 16968 19392 21342 22624 24899 28456 33936 42684 45248 49798 56912 67872 74697 85368 99596 113824 135744 149394 170736 199192 227648 298788 341472 359257 398384 597576 682944 718514 796768 1077771 1195152 1437028 1593536 2155542 2390304 2514799 2874056 4311084 4780608 5029598 5748112 7544397 8622168 10059196 11496224 15088794 17244336 20118392 22992448 30177588 34488672 40236784 60355176 68977344 80473568 120710352 160947136 241420704 482841408