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7482341344 = 2547149173193
BaseRepresentation
bin1101111011111101…
…10111011111100000
3201022110100022201111
412331332313133200
5110310434410334
63234244313104
7353263565152
oct67576673740
921273308644
107482341344
11319a64a885
1215499a2794
1392321751a
1450da36ad2
152dbd45064
hex1bdfb77e0

7482341344 has 96 divisors (see below), whose sum is σ = 15311721600. Its totient is φ = 3597238272.

The previous prime is 7482341327. The next prime is 7482341369. The reversal of 7482341344 is 4431432847.

It is a junction number, because it is equal to n+sod(n) for n = 7482341297 and 7482341306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38768512 + ... + 38768704.

It is an arithmetic number, because the mean of its divisors is an integer number (159497100).

Almost surely, 27482341344 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 7482341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655860800).

7482341344 is an abundant number, since it is smaller than the sum of its proper divisors (7829380256).

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

7482341344 is a wasteful number, since it uses less digits than its factorization.

7482341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 7482341344 is about 86500.5279983885. The cubic root of 7482341344 is about 1955.8963621777.

The spelling of 7482341344 in words is "seven billion, four hundred eighty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 94 149 173 188 193 298 346 376 386 596 692 752 772 1192 1384 1504 1544 2384 2768 3088 4768 5536 6176 7003 8131 9071 14006 16262 18142 25777 28012 28757 32524 33389 36284 51554 56024 57514 65048 66778 72568 103108 112048 115028 130096 133556 145136 206216 224096 230056 260192 267112 290272 412432 460112 534224 824864 920224 1068448 1211519 1351579 1569283 2423038 2703158 3138566 4846076 4974961 5406316 6277132 9692152 9949922 10812632 12554264 19384304 19899844 21625264 25108528 38768608 39799688 43250528 50217056 79599376 159198752 233823167 467646334 935292668 1870585336 3741170672 7482341344