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2828422680 = 233574331723
BaseRepresentation
bin1010100010010110…
…0100111000011000
321022010011202111120
42220211210320120
521243034011210
61144354525240
7130043124156
oct25045447030
97263152446
102828422680
111221630906
1266b296820
13360c9c2b5
141cb9023d6
151184a1270
hexa8964e18

2828422680 has 64 divisors (see below), whose sum is σ = 8496956160. Its totient is φ = 753207168.

The previous prime is 2828422637. The next prime is 2828422799. The reversal of 2828422680 is 862248282.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 73299 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (132764940).

Almost surely, 22828422680 is an apocalyptic number.

2828422680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828422680 is an abundant number, since it is smaller than the sum of its proper divisors (5668533480).

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

2828422680 is a wasteful number, since it uses less digits than its factorization.

2828422680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32480 (or 32476 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2828422680 is about 53182.9171821178. The cubic root of 2828422680 is about 1414.2128215817.

The spelling of 2828422680 in words is "two billion, eight hundred twenty-eight million, four hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 14860 17832 22290 29720 31723 44580 63446 89160 95169 126892 158615 190338 253784 317230 380676 475845 634460 761352 951690 1268920 1903380 3806760 23570189 47140378 70710567 94280756 117850945 141421134 188561512 235701890 282842268 353552835 471403780 565684536 707105670 942807560 1414211340 2828422680