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2854254000 = 2435313233743
BaseRepresentation
bin1010101000100000…
…0111010110110000
321100220210010102010
42222020013112300
521321142112000
61151120322520
7130505521143
oct25210072660
97326703363
102854254000
111235174304
12677a73440
133664449c0
141d110805a
1511a8a4d50
hexaa2075b0

2854254000 has 640 divisors, whose sum is σ = 10867304448. Its totient is φ = 638668800.

The previous prime is 2854253999. The next prime is 2854254001. The reversal of 2854254000 is 4524582.

It is an interprime number because it is at equal distance from previous prime (2854253999) and next prime (2854254001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854254001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66377979 + ... + 66378021.

Almost surely, 22854254000 is an apocalyptic number.

2854254000 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 2854254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433652224).

2854254000 is an abundant number, since it is smaller than the sum of its proper divisors (8013050448).

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

2854254000 is a wasteful number, since it uses less digits than its factorization.

2854254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 2854254000 is about 53425.2187641754. The cubic root of 2854254000 is about 1418.5050059861.

Adding to 2854254000 its reverse (4524582), we get a palindrome (2858778582).

The spelling of 2854254000 in words is "two billion, eight hundred fifty-four million, two hundred fifty-four thousand".