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2858315040 = 2534573643
BaseRepresentation
bin1010101001011110…
…0110110100100000
321101012102110010000
42222113212310200
521323212040130
61151343340000
7130555164000
oct25227466440
97335373100
102858315040
111237498439
126792b1600
13367237299
141d1884000
1511ae08260
hexaa5e6d20

2858315040 has 480 divisors, whose sum is σ = 11782108800. Its totient is φ = 652313088.

The previous prime is 2858315029. The next prime is 2858315093. The reversal of 2858315040 is 405138582.

It is a happy number.

2858315040 is a `hidden beast` number, since 28 + 583 + 1 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2858314986 and 2858315004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4444959 + ... + 4445601.

It is an arithmetic number, because the mean of its divisors is an integer number (24546060).

Almost surely, 22858315040 is an apocalyptic number.

2858315040 is a gapful number since it is divisible by the number (20) 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 2858315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891054400).

2858315040 is an abundant number, since it is smaller than the sum of its proper divisors (8923793760).

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

2858315040 is an equidigital number, since it uses as much as digits as its factorization.

2858315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2858315040 is about 53463.2120247185. The cubic root of 2858315040 is about 1419.1774380423.

The spelling of 2858315040 in words is "two billion, eight hundred fifty-eight million, three hundred fifteen thousand, forty".