Search a number
-
+
4250034000 = 2432531721943
BaseRepresentation
bin1111110101010010…
…0101111101010000
3101222012012002121200
43331110211331100
532201002042000
61541420551200
7210214456452
oct37524457520
911865162550
104250034000
1118910404a3
129a73b2500
13529676724
142c463c2d2
1519d1b4500
hexfd525f50

4250034000 has 720 divisors, whose sum is σ = 16984418880. Its totient is φ = 987033600.

The previous prime is 4250033969. The next prime is 4250034023. The reversal of 4250034000 is 4300524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98837979 + ... + 98838021.

Almost surely, 24250034000 is an apocalyptic number.

4250034000 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 4250034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492209440).

4250034000 is an abundant number, since it is smaller than the sum of its proper divisors (12734384880).

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

4250034000 is a wasteful number, since it uses less digits than its factorization.

4250034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4250034000 is about 65192.2848196012. The cubic root of 4250034000 is about 1619.8102201096.

Adding to 4250034000 its reverse (4300524), we get a palindrome (4254334524).

The spelling of 4250034000 in words is "four billion, two hundred fifty million, thirty-four thousand".