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483672000 = 2635372879
BaseRepresentation
bin11100110101000…
…011111111000000
31020201010002020210
4130311003333000
51442310001000
6115554434120
714662100310
oct3465037700
91221102223
10483672000
11229024a29
12115b92940
1379289166
1448345440
152c6e0350
hex1cd43fc0

483672000 has 224 divisors, whose sum is σ = 1825873920. Its totient is φ = 110515200.

The previous prime is 483671977. The next prime is 483672023. The reversal of 483672000 is 276384.

It is an interprime number because it is at equal distance from previous prime (483671977) and next prime (483672023).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166561 + ... + 169439.

Almost surely, 2483672000 is an apocalyptic number.

483672000 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 483672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

483672000 is an abundant number, since it is smaller than the sum of its proper divisors (1342201920).

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

483672000 is a wasteful number, since it uses less digits than its factorization.

483672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 483672000 is about 21992.5441911571. The cubic root of 483672000 is about 784.9650409736.

The spelling of 483672000 in words is "four hundred eighty-three million, six hundred seventy-two thousand".