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630050200 = 235213317817
BaseRepresentation
bin100101100011011…
…100110110011000
31121220112212101121
4211203130312120
52242243101300
6142304055024
721420224023
oct4543346630
91556485347
10630050200
112a371304a
12157004474
13a06ba690
145d96a1ba
153a4a681a
hex258dcd98

630050200 has 96 divisors (see below), whose sum is σ = 1628645760. Its totient is φ = 225100800.

The previous prime is 630050191. The next prime is 630050227. The reversal of 630050200 is 2050036.

630050200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6300502003 (a number of 27 digits) contains 333 as substring.

It is a congruent 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, 76692 + ... + 84508.

It is an arithmetic number, because the mean of its divisors is an integer number (16965060).

Almost surely, 2630050200 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 630050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814322880).

630050200 is an abundant number, since it is smaller than the sum of its proper divisors (998595560).

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

630050200 is a wasteful number, since it uses less digits than its factorization.

630050200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 630050200 is about 25100.8007840387. The cubic root of 630050200 is about 857.2846572281.

The spelling of 630050200 in words is "six hundred thirty million, fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 7817 8060 10075 15634 16120 20150 31268 39085 40300 62536 78170 80600 101621 156340 195425 203242 242327 312680 390850 406484 484654 508105 781700 812968 969308 1016210 1211635 1563400 1938616 2032420 2423270 2540525 3150251 4064840 4846540 5081050 6058175 6300502 9693080 10162100 12116350 12601004 15751255 20324200 24232700 25202008 31502510 48465400 63005020 78756275 126010040 157512550 315025100 630050200