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482235448240 = 2457213291512161
BaseRepresentation
bin1110000010001110111…
…10001111101110110000
31201002201211001222111001
413001013132033232300
530400104233320430
61005311431131344
746561146451300
oct7010736175660
91632654058431
10482235448240
1117657337a867
1279563813b54
13366229365a0
14194a9ba5600
15c8262873ca
hex704778fbb0

482235448240 has 480 divisors, whose sum is σ = 1463310092160. Its totient is φ = 146313216000.

The previous prime is 482235448213. The next prime is 482235448243. The reversal of 482235448240 is 42844532284.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (482235448243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223152760 + ... + 223154920.

It is an arithmetic number, because the mean of its divisors is an integer number (3048562692).

Almost surely, 2482235448240 is an apocalyptic number.

482235448240 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 482235448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731655046080).

482235448240 is an abundant number, since it is smaller than the sum of its proper divisors (981074643920).

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

482235448240 is a wasteful number, since it uses less digits than its factorization.

482235448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 46.

The spelling of 482235448240 in words is "four hundred eighty-two billion, two hundred thirty-five million, four hundred forty-eight thousand, two hundred forty".