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628997706 = 232372813361
BaseRepresentation
bin100101011111011…
…011111001001010
31121211120101122100
4211133123321022
52242010411311
6142225334230
721405251361
oct4537337112
91554511570
10628997706
112a3064317
12156797376
13a040c5bc
145d7747d8
153a349a56
hex257dbe4a

628997706 has 48 divisors (see below), whose sum is σ = 1405060488. Its totient is φ = 203212800.

The previous prime is 628997647. The next prime is 628997723. The reversal of 628997706 is 607799826.

628997706 is a `hidden beast` number, since 628 + 9 + 9 + 7 + 7 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 627051681 + 1946025 = 25041^2 + 1395^2 .

It is a super-2 number, since 2×6289977062 = 791276228306524872, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185466 + ... + 188826.

Almost surely, 2628997706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628997706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702530244).

628997706 is an abundant number, since it is smaller than the sum of its proper divisors (776062782).

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

628997706 is a wasteful number, since it uses less digits than its factorization.

628997706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 628997706 is about 25079.8266740422. The cubic root of 628997706 is about 856.8070287016.

The spelling of 628997706 in words is "six hundred twenty-eight million, nine hundred ninety-seven thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 562 666 843 1686 2529 3361 5058 6722 10083 10397 20166 20794 30249 31191 60498 62382 93573 124357 187146 248714 373071 746142 944441 1119213 1888882 2238426 2833323 5666646 8499969 16999938 34944317 69888634 104832951 209665902 314498853 628997706