Search a number
-
+
1042525000 = 23551117223
BaseRepresentation
bin111110001000111…
…010101101001000
32200122200202110001
4332020322231020
54113341300000
6251240532344
734556213326
oct7610725510
92618622401
101042525000
11495529510
122511810b4
13137ca90ca
149c65ad16
15617d146a
hex3e23ab48

1042525000 has 192 divisors, whose sum is σ = 2834818560. Its totient is φ = 355200000.

The previous prime is 1042524997. The next prime is 1042525037. The reversal of 1042525000 is 5252401.

1042525000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4674889 + ... + 4675111.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 21042525000 is an apocalyptic number.

1042525000 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 1042525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1042525000 is an abundant number, since it is smaller than the sum of its proper divisors (1792293560).

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

1042525000 is a wasteful number, since it uses less digits than its factorization.

1042525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1042525000 is about 32288.1557231131. The cubic root of 1042525000 is about 1013.9786858466.

Adding to 1042525000 its reverse (5252401), we get a palindrome (1047777401).

The spelling of 1042525000 in words is "one billion, forty-two million, five hundred twenty-five thousand".