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2828862240 = 253541143743
BaseRepresentation
bin1010100010011101…
…0000001100100000
321022011000002110120
42220213100030200
521243142042430
61144412200240
7130046634531
oct25047201440
97264002416
102828862240
111221901086
1266b469080
133610c43a9
141cb9b8688
1511853b610
hexa89d0320

2828862240 has 96 divisors (see below), whose sum is σ = 9128318976. Its totient is φ = 735959040.

The previous prime is 2828862233. The next prime is 2828862259. The reversal of 2828862240 is 422688282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2828862192 and 2828862201.

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, 52192 + ... + 91551.

It is an arithmetic number, because the mean of its divisors is an integer number (95086656).

Almost surely, 22828862240 is an apocalyptic number.

2828862240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828862240 is an abundant number, since it is smaller than the sum of its proper divisors (6299456736).

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

2828862240 is a wasteful number, since it uses less digits than its factorization.

2828862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143802 (or 143794 counting only the distinct ones).

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

The square root of 2828862240 is about 53187.0495515591. The cubic root of 2828862240 is about 1414.2860778637.

The spelling of 2828862240 in words is "two billion, eight hundred twenty-eight million, eight hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 143743 287486 431229 574972 718715 862458 1149944 1437430 1724916 2156145 2299888 2874860 3449832 4312290 4599776 5749720 5893463 6899664 8624580 11499440 11786926 13799328 17249160 17680389 22998880 23573852 29467315 34498320 35360778 47147704 58934630 68996640 70721556 88401945 94295408 117869260 141443112 176803890 188590816 235738520 282886224 353607780 471477040 565772448 707215560 942954080 1414431120 2828862240