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820664432 = 2477327361
BaseRepresentation
bin110000111010100…
…101100001110000
32010012020001221222
4300322211201300
53140042230212
6213233404212
726223350450
oct6072454160
92105201858
10820664432
11391275375
121aaa09668
13101039873
147adc7d60
154c0a9c72
hex30ea5870

820664432 has 20 divisors (see below), whose sum is σ = 1817185776. Its totient is φ = 351713280.

The previous prime is 820664423. The next prime is 820664437. The reversal of 820664432 is 234466028.

It is a junction number, because it is equal to n+sod(n) for n = 820664392 and 820664401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820664437) 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 3 ways as a sum of consecutive naturals, for example, 3663569 + ... + 3663792.

Almost surely, 2820664432 is an apocalyptic number.

It is an amenable number.

820664432 is an abundant number, since it is smaller than the sum of its proper divisors (996521344).

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

820664432 is a wasteful number, since it uses less digits than its factorization.

820664432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327376 (or 7327370 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 820664432 is about 28647.2412633398. The cubic root of 820664432 is about 936.2428996795.

The spelling of 820664432 in words is "eight hundred twenty million, six hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 7327361 14654722 29309444 51291527 58618888 102583054 117237776 205166108 410332216 820664432