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2478393192 = 2331113171663
BaseRepresentation
bin1001001110111001…
…0100011101101000
320101201112102022110
42103232110131220
520033432040232
61045532322320
7115262665062
oct22356243550
96351472273
102478393192
111061a96540
125920133a0
13306605862
14197228732
15e78adacc
hex93b94768

2478393192 has 64 divisors (see below), whose sum is σ = 6810946560. Its totient is φ = 745284800.

The previous prime is 2478393191. The next prime is 2478393209. The reversal of 2478393192 is 2913938742.

2478393192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24783931922 = 12284865628303897728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2478393191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 70415.

It is an arithmetic number, because the mean of its divisors is an integer number (106421040).

Almost surely, 22478393192 is an apocalyptic number.

2478393192 is a gapful number since it is divisible by the number (22) 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 2478393192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405473280).

2478393192 is an abundant number, since it is smaller than the sum of its proper divisors (4332553368).

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

2478393192 is a wasteful number, since it uses less digits than its factorization.

2478393192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71814 (or 71810 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 2478393192 is about 49783.4630374384. The cubic root of 2478393192 is about 1353.2874962164.

The spelling of 2478393192 in words is "two billion, four hundred seventy-eight million, three hundred ninety-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 71663 143326 214989 286652 429978 573304 788293 859956 1576586 1719912 2364879 3153172 4729758 6306344 9387853 9459516 18775706 18919032 28163559 37551412 56327118 75102824 103266383 112654236 206532766 225308472 309799149 413065532 619598298 826131064 1239196596 2478393192