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828338200 = 23524141691
BaseRepresentation
bin110001010111110…
…111000000011000
32010201122221101121
4301113313000120
53144023310300
6214110055024
726345521114
oct6127670030
92121587347
10828338200
11395636828
121b14aa474
131027c5661
147c024744
154cac381a
hex315f7018

828338200 has 24 divisors (see below), whose sum is σ = 1925886780. Its totient is φ = 331335200.

The previous prime is 828338191. The next prime is 828338207. The reversal of 828338200 is 2833828.

It is a super-2 number, since 2×8283382002 = 1372288347158480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828338207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2070646 + ... + 2071045.

Almost surely, 2828338200 is an apocalyptic number.

It is an amenable number.

828338200 is an abundant number, since it is smaller than the sum of its proper divisors (1097548580).

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

828338200 is a wasteful number, since it uses less digits than its factorization.

828338200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141707 (or 4141698 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 828338200 is about 28780.8651711515. The cubic root of 828338200 is about 939.1520193258.

The spelling of 828338200 in words is "eight hundred twenty-eight million, three hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4141691 8283382 16566764 20708455 33133528 41416910 82833820 103542275 165667640 207084550 414169100 828338200