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4425013000 = 23535777669
BaseRepresentation
bin1000001111100000…
…00101011100001000
3102102101102221200101
410013300011130020
533030300404000
62011031215144
7214440663352
oct40760053410
912371387611
104425013000
111970893841
12a35b174b4
135569b00b5
142dd98a0d2
151ad729e6a
hex107c05708

4425013000 has 64 divisors (see below), whose sum is σ = 10373828400. Its totient is φ = 1766707200.

The previous prime is 4425012989. The next prime is 4425013007. The reversal of 4425013000 is 3105244.

It can be written as a sum of positive squares in 8 ways, for example, as 2317652164 + 2107360836 = 48142^2 + 45906^2 .

It is not an unprimeable number, because it can be changed into a prime (4425013007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573166 + ... + 580834.

Almost surely, 24425013000 is an apocalyptic number.

4425013000 is a gapful number since it is divisible by the number (40) 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 4425013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186914200).

4425013000 is an abundant number, since it is smaller than the sum of its proper divisors (5948815400).

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

4425013000 is a wasteful number, since it uses less digits than its factorization.

4425013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4425013000 is about 66520.7711921622. The cubic root of 4425013000 is about 1641.7417792540.

Adding to 4425013000 its reverse (3105244), we get a palindrome (4428118244).

The spelling of 4425013000 in words is "four billion, four hundred twenty-five million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 577 1000 1154 2308 2885 4616 5770 7669 11540 14425 15338 23080 28850 30676 38345 57700 61352 72125 76690 115400 144250 153380 191725 288500 306760 383450 577000 766900 958625 1533800 1917250 3834500 4425013 7669000 8850026 17700052 22125065 35400104 44250130 88500260 110625325 177000520 221250650 442501300 553126625 885002600 1106253250 2212506500 4425013000