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2578028020 = 225434763781
BaseRepresentation
bin1001100110101001…
…1001010111110100
320122200000101121021
42121222121113310
520234433344040
61103452030524
7120612606451
oct23152312764
96580011537
102578028020
111103258677
125bb462444
1332114c089
141a6562828
151014e024a
hex99a995f4

2578028020 has 48 divisors (see below), whose sum is σ = 5657718528. Its totient is φ = 985783680.

The previous prime is 2578028009. The next prime is 2578028027. The reversal of 2578028020 is 208208752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578028027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8530 + ... + 72310.

It is an arithmetic number, because the mean of its divisors is an integer number (117869136).

Almost surely, 22578028020 is an apocalyptic number.

2578028020 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 2578028020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828859264).

2578028020 is an abundant number, since it is smaller than the sum of its proper divisors (3079690508).

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

2578028020 is a wasteful number, since it uses less digits than its factorization.

2578028020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63880 (or 63878 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2578028020 is about 50774.2850269701. The cubic root of 2578028020 is about 1371.1844446307.

The spelling of 2578028020 in words is "two billion, five hundred seventy-eight million, twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 40420 63781 127562 255124 318905 637810 1275620 2742583 2997707 5485166 5995414 10970332 11990828 13712915 14988535 27425830 29977070 54851660 59954140 128901401 257802802 515605604 644507005 1289014010 2578028020