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828149408 = 25231125203
BaseRepresentation
bin110001010111001…
…000111010100000
32010201022100102022
4301113020322200
53144001240113
6214102041012
726344103522
oct6127107240
92121270368
10828149408
113955179a9
121b1419168
1310275a748
147bdb5a12
154ca87908
hex315c8ea0

828149408 has 24 divisors (see below), whose sum is σ = 1701308448. Its totient is φ = 396071104.

The previous prime is 828149369. The next prime is 828149411. The reversal of 828149408 is 804941828.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 561866 + ... + 563337.

It is an arithmetic number, because the mean of its divisors is an integer number (70887852).

Almost surely, 2828149408 is an apocalyptic number.

It is an amenable number.

828149408 is an abundant number, since it is smaller than the sum of its proper divisors (873159040).

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

828149408 is a wasteful number, since it uses less digits than its factorization.

828149408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125236 (or 1125228 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 828149408 is about 28777.5851662366. The cubic root of 828149408 is about 939.0806644694.

The spelling of 828149408 in words is "eight hundred twenty-eight million, one hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1125203 2250406 4500812 9001624 18003248 25879669 36006496 51759338 103518676 207037352 414074704 828149408