Search a number
-
+
5035212000 = 2532537132953
BaseRepresentation
bin1001011000001111…
…10011110011100000
3110222220122021100100
410230013303303200
540303003241000
62151350022400
7235530411240
oct45407636340
913886567310
105035212000
112154278335
12b86347a00
13623239cb0
1435aa29b20
151e70aea00
hex12c1f3ce0

5035212000 has 1152 divisors, whose sum is σ = 23181500160. Its totient is φ = 1006387200.

The previous prime is 5035211953. The next prime is 5035212001. The reversal of 5035212000 is 2125305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035212001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95003974 + ... + 95004026.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 25035212000 is an apocalyptic number.

5035212000 is a gapful number since it is divisible by the number (50) 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 5035212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590750080).

5035212000 is an abundant number, since it is smaller than the sum of its proper divisors (18146288160).

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

5035212000 is a wasteful number, since it uses less digits than its factorization.

5035212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5035212000 is about 70959.2277297322. The cubic root of 5035212000 is about 1713.9806719140.

Adding to 5035212000 its reverse (2125305), we get a palindrome (5037337305).

It can be divided in two parts, 503521 and 2000, that added together give a square (505521 = 7112).

The spelling of 5035212000 in words is "five billion, thirty-five million, two hundred twelve thousand".