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482883840 = 28325167251
BaseRepresentation
bin11100110010000…
…011100100000000
31020122122001002200
4130302003210000
51442104240330
6115525513200
714652305415
oct3462034400
91218561080
10482883840
1122863685a
12115872800
13790714aa
14481bc10c
152c5d6a60
hex1cc83900

482883840 has 216 divisors, whose sum is σ = 1687428288. Its totient is φ = 127488000.

The previous prime is 482883833. The next prime is 482883847. The reversal of 482883840 is 48388284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (482883833) and next prime (482883847).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482883847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1923715 + ... + 1923965.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2482883840 is an apocalyptic number.

482883840 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 482883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

482883840 is an abundant number, since it is smaller than the sum of its proper divisors (1204544448).

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

482883840 is a wasteful number, since it uses less digits than its factorization.

482883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 482883840 is about 21974.6180854185. The cubic root of 482883840 is about 784.5384334079.

The spelling of 482883840 in words is "four hundred eighty-two million, eight hundred eighty-three thousand, eight hundred forty".