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2828422840 = 235197015309
BaseRepresentation
bin1010100010010110…
…0100111010111000
321022010011202201111
42220211210322320
521243034012330
61144354530104
7130043124505
oct25045447270
97263152644
102828422840
111221630a41
1266b296934
13360c9c3a9
141cb9024ac
151184a132a
hexa8964eb8

2828422840 has 64 divisors (see below), whose sum is σ = 6709716000. Its totient is φ = 1070092800.

The previous prime is 2828422837. The next prime is 2828422853. The reversal of 2828422840 is 482248282.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2828422793 and 2828422802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530106 + ... + 535414.

Almost surely, 22828422840 is an apocalyptic number.

2828422840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828422840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354858000).

2828422840 is an abundant number, since it is smaller than the sum of its proper divisors (3881293160).

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

2828422840 is a wasteful number, since it uses less digits than its factorization.

2828422840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 2828422840 is about 53182.9186863602. The cubic root of 2828422840 is about 1414.2128482484.

The spelling of 2828422840 in words is "two billion, eight hundred twenty-eight million, four hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 701 760 1402 2804 3505 5309 5608 7010 10618 13319 14020 21236 26545 26638 28040 42472 53090 53276 66595 100871 106180 106552 133190 201742 212360 266380 403484 504355 532760 806968 1008710 2017420 3721609 4034840 7443218 14886436 18608045 29772872 37216090 70710571 74432180 141421142 148864360 282842284 353552855 565684568 707105710 1414211420 2828422840