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628103300 = 2252114712149
BaseRepresentation
bin100101011100000…
…001100010000100
31121202212221202012
4211130001202010
52241243301200
6142154233352
721364534646
oct4534014204
91552787665
10628103300
112a2603340
12156425858
13a0188476
145d5c0896
153a21ea35
hex25701884

628103300 has 72 divisors (see below), whose sum is σ = 1518652800. Its totient is φ = 223523200.

The previous prime is 628103299. The next prime is 628103341. The reversal of 628103300 is 3301826.

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, 45626 + ... + 57774.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2628103300 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 628103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

628103300 is an abundant number, since it is smaller than the sum of its proper divisors (890549500).

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

628103300 is a wasteful number, since it uses less digits than its factorization.

628103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12221 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 628103300 is about 25061.9891469133. The cubic root of 628103300 is about 856.4007225749.

The spelling of 628103300 in words is "six hundred twenty-eight million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12149 12925 24298 25850 48596 51700 60745 121490 133639 242980 267278 303725 534556 571003 607450 668195 1142006 1214900 1336390 2284012 2672780 2855015 3340975 5710030 6281033 6681950 11420060 12562066 13363900 14275075 25124132 28550150 31405165 57100300 62810330 125620660 157025825 314051650 628103300