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1828708100 = 225229630589
BaseRepresentation
bin110110011111111…
…1101111100000100
311201110000222220122
41230333331330010
512221122124400
6501243321112
763213522332
oct15477757404
94643028818
101828708100
1185929250a
12430520198
13231b31ccb
14134c2ab52
15aa829685
hex6cffdf04

1828708100 has 36 divisors (see below), whose sum is σ = 4105140900. Its totient is φ = 706258560.

The previous prime is 1828708099. The next prime is 1828708109. The reversal of 1828708100 is 18078281.

It can be written as a sum of positive squares in 6 ways, for example, as 445463236 + 1383244864 = 21106^2 + 37192^2 .

It is a super-2 number, since 2×18287081002 = 6688346630011220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1828708109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312395 + ... + 318194.

Almost surely, 21828708100 is an apocalyptic number.

1828708100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828708100 is an abundant number, since it is smaller than the sum of its proper divisors (2276432800).

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

1828708100 is a wasteful number, since it uses less digits than its factorization.

1828708100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630632 (or 630625 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 1828708100 is about 42763.3967313168. The cubic root of 1828708100 is about 1222.8733001553.

The spelling of 1828708100 in words is "one billion, eight hundred twenty-eight million, seven hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 630589 1261178 2522356 3152945 6305890 12611780 15764725 18287081 31529450 36574162 63058900 73148324 91435405 182870810 365741620 457177025 914354050 1828708100