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1825852900 = 225242732
BaseRepresentation
bin110110011010100…
…0100110111100100
311201020122221022111
41230311010313210
512214404243100
6501102210404
763150331204
oct15465046744
94636587274
101825852900
11857712343
1242b583a04
13231372541
141346c6404
15aa4636ba
hex6cd44de4

1825852900 has 27 divisors (see below), whose sum is σ = 3963028251. Its totient is φ = 730170240.

The previous prime is 1825852883. The next prime is 1825852939. The reversal of 1825852900 is 92585281.

The square root of 1825852900 is 42730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 250715556 + 1575137344 = 15834^2 + 39688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 425164 + ... + 429436.

Almost surely, 21825852900 is an apocalyptic number.

1825852900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1825852900 is the 42730-th square number.

It is an amenable number.

1825852900 is an abundant number, since it is smaller than the sum of its proper divisors (2137175351).

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

1825852900 is an frugal number, since it uses more digits than its factorization.

1825852900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The cubic root of 1825852900 is about 1222.2365361348.

Multiplying 1825852900 by its product of nonzero digits (57600), we get a square (105169127040000 = 102552002).

The spelling of 1825852900 in words is "one billion, eight hundred twenty-five million, eight hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4273 8546 17092 21365 42730 85460 106825 213650 427300 18258529 36517058 73034116 91292645 182585290 365170580 456463225 912926450 1825852900