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483921360 = 243251324197
BaseRepresentation
bin11100110110000…
…000110111010000
31020201120202022100
4130312000313100
51442340440420
6120004040400
714664156306
oct3466006720
91221522270
10483921360
1122918530a
12116093100
1379345800
14483ac276
152c73e190
hex1cd80dd0

483921360 has 360 divisors, whose sum is σ = 1821305304. Its totient is φ = 115015680.

The previous prime is 483921341. The next prime is 483921367. The reversal of 483921360 is 63129384.

It can be written as a sum of positive squares in 12 ways, for example, as 407393856 + 76527504 = 20184^2 + 8748^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483921367) 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 71 ways as a sum of consecutive naturals, for example, 4988832 + ... + 4988928.

Almost surely, 2483921360 is an apocalyptic number.

483921360 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 483921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910652652).

483921360 is an abundant number, since it is smaller than the sum of its proper divisors (1337383944).

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

483921360 is a wasteful number, since it uses less digits than its factorization.

483921360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 483921360 is about 21998.2126546681. The cubic root of 483921360 is about 785.0999156091.

The spelling of 483921360 in words is "four hundred eighty-three million, nine hundred twenty-one thousand, three hundred sixty".