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828296208 = 243237155461
BaseRepresentation
bin110001010111101…
…100110000010000
32010201120210210100
4301113230300100
53144020434313
6214105132400
726345254515
oct6127546020
92121523710
10828296208
11395608223
121b148a100
131027ac4cc
147c01330c
154cab6173
hex315ecc10

828296208 has 60 divisors (see below), whose sum is σ = 2380745068. Its totient is φ = 268634880.

The previous prime is 828296207. The next prime is 828296213. The reversal of 828296208 is 802692828.

It can be written as a sum of positive squares in 2 ways, for example, as 794563344 + 33732864 = 28188^2 + 5808^2 .

It is not an unprimeable number, because it can be changed into a prime (828296201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72403 + ... + 83058.

Almost surely, 2828296208 is an apocalyptic number.

It is an amenable number.

828296208 is an abundant number, since it is smaller than the sum of its proper divisors (1552448860).

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

828296208 is a wasteful number, since it uses less digits than its factorization.

828296208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155512 (or 155503 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 828296208 is about 28780.1356494371. The cubic root of 828296208 is about 939.1361491824.

The spelling of 828296208 in words is "eight hundred twenty-eight million, two hundred ninety-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 155461 310922 466383 621844 932766 1243688 1399149 1865532 2487376 2798298 3731064 5596596 5752057 7462128 11193192 11504114 17256171 22386384 23008228 34512342 46016456 51768513 69024684 92032912 103537026 138049368 207074052 276098736 414148104 828296208