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621472320 = 263257291063
BaseRepresentation
bin100101000010101…
…110101001000000
31121022102001202100
4211002232221000
52233044103240
6141400150400
721254266440
oct4502565100
91538361670
10621472320
11299894397
12154168400
139b9a6201
145c776120
153985ee30
hex250aea40

621472320 has 336 divisors, whose sum is σ = 2529596160. Its totient is φ = 137023488.

The previous prime is 621472303. The next prime is 621472321. The reversal of 621472320 is 23274126.

621472320 is a `hidden beast` number, since 621 + 4 + 7 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (621472321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584109 + ... + 585171.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2621472320 is an apocalyptic number.

621472320 is a gapful number since it is divisible by the number (60) 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 621472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

621472320 is an abundant number, since it is smaller than the sum of its proper divisors (1908123840).

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

621472320 is a wasteful number, since it uses less digits than its factorization.

621472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 621472320 is about 24929.3465618335. The cubic root of 621472320 is about 853.3763378935.

The spelling of 621472320 in words is "six hundred twenty-one million, four hundred seventy-two thousand, three hundred twenty".