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1045325000 = 235541813
BaseRepresentation
bin111110010011100…
…110010011001000
32200211222000022202
4332103212103020
54120100400000
6251420535332
734622054516
oct7623462310
92624860282
101045325000
11497071165
122520b1548
13138749705
149cb894b6
1561b85dd5
hex3e4e64c8

1045325000 has 48 divisors (see below), whose sum is σ = 2449882260. Its totient is φ = 418120000.

The previous prime is 1045324967. The next prime is 1045325003. The reversal of 1045325000 is 5235401.

1045325000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 311240164 + 734084836 = 17642^2 + 27094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1045325003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4094 + ... + 45906.

Almost surely, 21045325000 is an apocalyptic number.

1045325000 is a gapful number since it is divisible by the number (10) 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 1045325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224941130).

1045325000 is an abundant number, since it is smaller than the sum of its proper divisors (1404557260).

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

1045325000 is an frugal number, since it uses more digits than its factorization.

1045325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41844 (or 41820 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1045325000 is about 32331.4862015343. The cubic root of 1045325000 is about 1014.8856512529.

It can be divided in two parts, 10453 and 25000, that added together give a palindrome (35453).

The spelling of 1045325000 in words is "one billion, forty-five million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 41813 83626 167252 209065 334504 418130 836260 1045325 1672520 2090650 4181300 5226625 8362600 10453250 20906500 26133125 41813000 52266250 104532500 130665625 209065000 261331250 522662500 1045325000