Search a number
-
+
42525221000 = 235345793053
BaseRepresentation
bin100111100110101100…
…110110000010001000
311001202122201001111012
4213212230312002020
51144042424033000
631311423023052
73033546262103
oct474654660210
9131678631435
1042525221000
1117042418a49
1282a973aa88
1340192a2682
1420b5b0573a
15118d545735
hex9e6b36088

42525221000 has 64 divisors (see below), whose sum is σ = 99727832880. Its totient is φ = 16972684800.

The previous prime is 42525220949. The next prime is 42525221017. The reversal of 42525221000 is 12252524.

It can be written as a sum of positive squares in 8 ways, for example, as 14987146084 + 27538074916 = 122422^2 + 165946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410474 + ... + 503526.

Almost surely, 242525221000 is an apocalyptic number.

42525221000 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 42525221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863916440).

42525221000 is an abundant number, since it is smaller than the sum of its proper divisors (57202611880).

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

42525221000 is a wasteful number, since it uses less digits than its factorization.

42525221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93531 (or 93517 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 42525221000 its reverse (12252524), we get a palindrome (42537473524).

The spelling of 42525221000 in words is "forty-two billion, five hundred twenty-five million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 457 500 914 1000 1828 2285 3656 4570 9140 11425 18280 22850 45700 57125 91400 93053 114250 186106 228500 372212 457000 465265 744424 930530 1861060 2326325 3722120 4652650 9305300 11631625 18610600 23263250 42525221 46526500 85050442 93053000 170100884 212626105 340201768 425252210 850504420 1063130525 1701008840 2126261050 4252522100 5315652625 8505044200 10631305250 21262610500 42525221000