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2478213306 = 234376432
BaseRepresentation
bin1001001110110110…
…1000100010111010
320101201012021120000
42103231220202322
520033410311211
61045524413430
7115261315452
oct22355504272
96351167500
102478213306
111061983378
12591b47276
13306571a0a
141971bcd62
15e7875656
hex93b688ba

2478213306 has 60 divisors (see below), whose sum is σ = 5711998842. Its totient is φ = 802494864.

The previous prime is 2478213289. The next prime is 2478213371. The reversal of 2478213306 is 6033128742.

It is a happy number.

2478213306 is a `hidden beast` number, since 247 + 82 + 1 + 330 + 6 = 666.

2478213306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1640979081 + 837234225 = 40509^2 + 28935^2 .

It is a super-2 number, since 2×24782133062 = 12283082380070899272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3853821 + ... + 3854463.

Almost surely, 22478213306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478213306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855999421).

2478213306 is an abundant number, since it is smaller than the sum of its proper divisors (3233785536).

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

2478213306 is an frugal number, since it uses more digits than its factorization.

2478213306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2478213306 is about 49781.6563203757. The cubic root of 2478213306 is about 1353.2547541202.

The spelling of 2478213306 in words is "two billion, four hundred seventy-eight million, two hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 643 666 999 1286 1929 1998 2997 3858 5787 5994 11574 17361 23791 34722 47582 52083 71373 104166 142746 214119 413449 428238 642357 826898 1240347 1284714 1927071 2480694 3721041 3854142 7442082 11163123 15297613 22326246 30595226 33489369 45892839 66978738 91785678 137678517 275357034 413035551 826071102 1239106653 2478213306