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628241364 = 223217451149
BaseRepresentation
bin100101011100100…
…011001111010100
31121210010222010200
4211130203033110
52241312210424
6142201220500
721365651322
oct4534431724
91553128120
10628241364
112a2698043
12156491730
13a020626a
145d618d12
153a24a8c9
hex257233d4

628241364 has 18 divisors (see below), whose sum is σ = 1588054650. Its totient is φ = 209413776.

The previous prime is 628241363. The next prime is 628241387. The reversal of 628241364 is 463142826.

628241364 is a `hidden beast` number, since 628 + 24 + 1 + 3 + 6 + 4 = 666.

628241364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 517107600 + 111133764 = 22740^2 + 10542^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×6282413642 = 789374422881160992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 17451149 = 628241364 / (6 + 2 + 8 + 2 + 4 + 1 + 3 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628241363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8725539 + ... + 8725610.

Almost surely, 2628241364 is an apocalyptic number.

It is an amenable number.

628241364 is an abundant number, since it is smaller than the sum of its proper divisors (959813286).

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

628241364 is a wasteful number, since it uses less digits than its factorization.

628241364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451159 (or 17451154 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 628241364 is about 25064.7434457247. The cubic root of 628241364 is about 856.4634667376.

It can be divided in two parts, 6 and 28241364, that added together give a triangular number (28241370 = T7515).

The spelling of 628241364 in words is "six hundred twenty-eight million, two hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17451149 34902298 52353447 69804596 104706894 157060341 209413788 314120682 628241364