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5782031976 = 23371711931697
BaseRepresentation
bin1010110001010001…
…01100111001101000
3112220221220122202110
411120220230321220
543320200010401
62353425002320
7263166314040
oct53050547150
915827818673
105782031976
1124a7896226
1211544833a0
13711b901c6
143cbcb0720
1523c92e9d6
hex158a2ce68

5782031976 has 128 divisors (see below), whose sum is σ = 17516839680. Its totient is φ = 1552613376.

The previous prime is 5782031971. The next prime is 5782031989. The reversal of 5782031976 is 6791302875.

It is not an unprimeable number, because it can be changed into a prime (5782031971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3406360 + ... + 3408056.

It is an arithmetic number, because the mean of its divisors is an integer number (136850310).

Almost surely, 25782031976 is an apocalyptic number.

5782031976 is a gapful number since it is divisible by the number (56) 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 5782031976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758419840).

5782031976 is an abundant number, since it is smaller than the sum of its proper divisors (11734807704).

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

5782031976 is a wasteful number, since it uses less digits than its factorization.

5782031976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 5782031976 is about 76039.6736973535. The cubic root of 5782031976 is about 1794.8445047034.

The spelling of 5782031976 in words is "five billion, seven hundred eighty-two million, thirty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1193 1428 1697 2386 2856 3394 3579 4772 5091 6788 7158 8351 9544 10182 11879 13576 14316 16702 20281 20364 23758 25053 28632 28849 33404 35637 40562 40728 47516 50106 57698 60843 66808 71274 81124 86547 95032 100212 115396 121686 141967 142548 162248 173094 200424 201943 230792 243372 283934 285096 346188 403886 425901 486744 567868 605829 692376 807772 851802 1135736 1211658 1615544 1703604 2024521 2423316 3407208 4049042 4846632 6073563 8098084 12147126 14171647 16196168 24294252 28343294 34416857 42514941 48588504 56686588 68833714 85029882 103250571 113373176 137667428 170059764 206501142 240917999 275334856 340119528 413002284 481835998 722753997 826004568 963671996 1445507994 1927343992 2891015988 5782031976