Search a number
-
+
4135250000 = 2456717139
BaseRepresentation
bin1111011001111010…
…1110100001010000
3101200012012110120102
43312132232201100
531432111000000
61522200431532
7204322021310
oct36636564120
911605173512
104135250000
111832271592
12974a785a8
1350b9579bb
142b32bd440
1519308e3d5
hexf67ae850

4135250000 has 280 divisors, whose sum is σ = 12206093760. Its totient is φ = 1324800000.

The previous prime is 4135249999. The next prime is 4135250011. The reversal of 4135250000 is 525314.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29749931 + ... + 29750069.

It is an arithmetic number, because the mean of its divisors is an integer number (43593192).

Almost surely, 24135250000 is an apocalyptic number.

4135250000 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 4135250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103046880).

4135250000 is an abundant number, since it is smaller than the sum of its proper divisors (8070843760).

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

4135250000 is an equidigital number, since it uses as much as digits as its factorization.

4135250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4135250000 is about 64305.9095262636. The cubic root of 4135250000 is about 1605.0944390492.

Adding to 4135250000 its reverse (525314), we get a palindrome (4135775314).

The spelling of 4135250000 in words is "four billion, one hundred thirty-five million, two hundred fifty thousand".