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2857378000 = 24531428689
BaseRepresentation
bin1010101001010000…
…0010000011010000
321101010122211201211
42222110002003100
521322442044000
61151311305504
7130544212051
oct25224020320
97333584654
102857378000
111236a08424
12678b1b294
13366c99919
141d16bc728
1511acc07ba
hexaa5020d0

2857378000 has 40 divisors (see below), whose sum is σ = 6909144840. Its totient is φ = 1142950400.

The previous prime is 2857377989. The next prime is 2857378001. The reversal of 2857378000 is 8737582.

It can be written as a sum of positive squares in 4 ways, for example, as 486467136 + 2370910864 = 22056^2 + 48692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2857378001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712345 + ... + 716344.

It is an arithmetic number, because the mean of its divisors is an integer number (172728621).

Almost surely, 22857378000 is an apocalyptic number.

2857378000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2857378000 is an abundant number, since it is smaller than the sum of its proper divisors (4051766840).

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

2857378000 is a wasteful number, since it uses less digits than its factorization.

2857378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428712 (or 1428696 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 2857378000 is about 53454.4478972517. The cubic root of 2857378000 is about 1419.0223383475.

The spelling of 2857378000 in words is "two billion, eight hundred fifty-seven million, three hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1428689 2857378 5714756 7143445 11429512 14286890 22859024 28573780 35717225 57147560 71434450 114295120 142868900 178586125 285737800 357172250 571475600 714344500 1428689000 2857378000