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628102000 = 24531916529
BaseRepresentation
bin100101011100000…
…001001101110000
31121202212212222001
4211130001031300
52241243231000
6142154223344
721364531111
oct4534011560
91552785861
10628102000
112a2602369
12156424b54
13a01879b6
145d5c0208
153a21e46a
hex25701370

628102000 has 80 divisors (see below), whose sum is σ = 1598781600. Its totient is φ = 238003200.

The previous prime is 628101983. The next prime is 628102073. The reversal of 628102000 is 201826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29736 + ... + 46264.

It is an arithmetic number, because the mean of its divisors is an integer number (19984770).

Almost surely, 2628102000 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 628102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799390800).

628102000 is an abundant number, since it is smaller than the sum of its proper divisors (970679600).

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

628102000 is a wasteful number, since it uses less digits than its factorization.

628102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 628102000 is about 25061.9632112091. The cubic root of 628102000 is about 856.4001317370.

Adding to 628102000 its reverse (201826), we get a palindrome (628303826).

The spelling of 628102000 in words is "six hundred twenty-eight million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 16529 19000 33058 38000 66116 82645 132232 165290 264464 314051 330580 413225 628102 661160 826450 1256204 1322320 1570255 1652900 2066125 2512408 3140510 3305800 4132250 5024816 6281020 6611600 7851275 8264500 12562040 15702550 16529000 25124080 31405100 33058000 39256375 62810200 78512750 125620400 157025500 314051000 628102000