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620083328 = 27312712
BaseRepresentation
bin100100111101011…
…011100010000000
31121012210111102012
4210331123202000
52232220131303
6141310312052
721236423054
oct4475334200
91535714365
10620083328
11299025867
121537b8628
139b60ac17
145c4d3c64
15396885d8
hex24f5b880

620083328 has 72 divisors (see below), whose sum is σ = 1294688295. Its totient is φ = 295814400.

The previous prime is 620083327. The next prime is 620083357. The reversal of 620083328 is 823380026.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 310041664 + 310041664 = 17608^2 + 17608^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17608.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 620083294 and 620083303.

It is not an unprimeable number, because it can be changed into a prime (620083327) 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 8 ways as a sum of consecutive naturals, for example, 8733533 + ... + 8733603.

Almost surely, 2620083328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620083328

620083328 is an abundant number, since it is smaller than the sum of its proper divisors (674604967).

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

620083328 is an frugal number, since it uses more digits than its factorization.

620083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 620083328 is about 24901.4724062655. The cubic root of 620083328 is about 852.7400976619.

Multiplying 620083328 by its sum of digits (32), we get a square (19842666496 = 1408642).

620083328 divided by its sum of digits (32) gives a square (19377604 = 44022).

The spelling of 620083328 in words is "six hundred twenty million, eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 284 496 568 961 992 1136 1922 1984 2201 2272 3844 3968 4402 4544 5041 7688 8804 9088 10082 15376 17608 20164 30752 35216 40328 61504 68231 70432 80656 123008 136462 140864 156271 161312 272924 281728 312542 322624 545848 625084 645248 1091696 1250168 2183392 2500336 4366784 4844401 5000672 8733568 9688802 10001344 19377604 20002688 38755208 77510416 155020832 310041664 620083328