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5482253340 = 223453679221
BaseRepresentation
bin1010001101100010…
…01000110000011100
3112011001211022210000
411012301020300130
542211424101330
62303555414300
7252566245614
oct50661106034
915131738700
105482253340
112363653093
12108bbb4390
13694a3c0b5
143a0157a44
15221466560
hex146c48c1c

5482253340 has 120 divisors (see below), whose sum is σ = 17246763072. Its totient is φ = 1457792640.

The previous prime is 5482253317. The next prime is 5482253341. The reversal of 5482253340 is 433522845.

5482253340 is a `hidden beast` number, since 5 + 4 + 82 + 2 + 533 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5482253295 and 5482253304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482253341) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 589930 + ... + 599150.

Almost surely, 25482253340 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 5482253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623381536).

5482253340 is an abundant number, since it is smaller than the sum of its proper divisors (11764509732).

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

5482253340 is a wasteful number, since it uses less digits than its factorization.

5482253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5482253340 is about 74042.2402416350. The cubic root of 5482253340 is about 1763.2735798385.

The spelling of 5482253340 in words is "five billion, four hundred eighty-two million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 367 405 540 734 810 1101 1468 1620 1835 2202 3303 3670 4404 5505 6606 7340 9221 9909 11010 13212 16515 18442 19818 22020 27663 29727 33030 36884 39636 46105 49545 55326 59454 66060 82989 92210 99090 110652 118908 138315 148635 165978 184420 198180 248967 276630 297270 331956 414945 497934 553260 594540 746901 829890 995868 1244835 1493802 1659780 2489670 2987604 3384107 3734505 4979340 6768214 7469010 10152321 13536428 14938020 16920535 20304642 30456963 33841070 40609284 50761605 60913926 67682140 91370889 101523210 121827852 152284815 182741778 203046420 274112667 304569630 365483556 456854445 548225334 609139260 913708890 1096450668 1370563335 1827417780 2741126670 5482253340