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820936836 = 223349915233
BaseRepresentation
bin110000111011101…
…000000010000100
32010012201220122000
4300323220002010
53140124434321
6213243305300
726225563566
oct6073500204
92105656560
10820936836
11391440aa5
121aab1b230
13101103855
147b059336
154c110826
hex30ee8084

820936836 has 48 divisors (see below), whose sum is σ = 2132760000. Its totient is φ = 273079296.

The previous prime is 820936811. The next prime is 820936859. The reversal of 820936836 is 638639028.

It is a junction number, because it is equal to n+sod(n) for n = 820936791 and 820936800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46276 + ... + 61508.

It is an arithmetic number, because the mean of its divisors is an integer number (44432500).

Almost surely, 2820936836 is an apocalyptic number.

It is an amenable number.

820936836 is an abundant number, since it is smaller than the sum of its proper divisors (1311823164).

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

820936836 is a wasteful number, since it uses less digits than its factorization.

820936836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 820936836 is about 28651.9953231882. The cubic root of 820936836 is about 936.3464775806.

The spelling of 820936836 in words is "eight hundred twenty million, nine hundred thirty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 499 998 1497 1996 2994 4491 5988 8982 13473 15233 17964 26946 30466 45699 53892 60932 91398 137097 182796 274194 411291 548388 822582 1645164 7601267 15202534 22803801 30405068 45607602 68411403 91215204 136822806 205234209 273645612 410468418 820936836