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2068284192 = 253132177499
BaseRepresentation
bin111101101000111…
…1000001100100000
312100010211201112020
41323101320030200
513213440043232
6541122301440
7102153061032
oct17321701440
95303751466
102068284192
11971546587
124987b7880
1326c664c00
14158991c52
15c189ee2c
hex7b478320

2068284192 has 144 divisors (see below), whose sum is σ = 6225660000. Its totient is φ = 598880256.

The previous prime is 2068284181. The next prime is 2068284193. The reversal of 2068284192 is 2914828602.

It is not an unprimeable number, because it can be changed into a prime (2068284193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272059 + ... + 279557.

It is an arithmetic number, because the mean of its divisors is an integer number (43233750).

Almost surely, 22068284192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068284192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112830000).

2068284192 is an abundant number, since it is smaller than the sum of its proper divisors (4157375808).

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

2068284192 is a wasteful number, since it uses less digits than its factorization.

2068284192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2068284192 is about 45478.3925837315. The cubic root of 2068284192 is about 1274.0996728904.

The spelling of 2068284192 in words is "two billion, sixty-eight million, two hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 169 204 208 221 272 312 338 408 416 442 507 544 624 663 676 816 884 1014 1248 1326 1352 1632 1768 2028 2652 2704 2873 3536 4056 5304 5408 5746 7072 7499 8112 8619 10608 11492 14998 16224 17238 21216 22497 22984 29996 34476 44994 45968 59992 68952 89988 91936 97487 119984 127483 137904 179976 194974 239968 254966 275808 292461 359952 382449 389948 509932 584922 719904 764898 779896 1019864 1169844 1267331 1529796 1559792 1657279 2039728 2339688 2534662 3059592 3119584 3314558 3801993 4079456 4679376 4971837 5069324 6119184 6629116 7603986 9358752 9943674 10138648 12238368 13258232 15207972 19887348 20277296 21544627 26516464 30415944 39774696 40554592 43089254 53032928 60831888 64633881 79549392 86178508 121663776 129267762 159098784 172357016 258535524 344714032 517071048 689428064 1034142096 2068284192