Search a number
-
+
4827420000 = 253254132063
BaseRepresentation
bin1000111111011110…
…01001010101100000
3110110102122100022100
410133233021111200
534341304420000
62115004210400
7230425251534
oct43757112540
913412570270
104827420000
112057a53107
12b28839a00
135bc185150
1433b1b9bc4
151d3c16a00
hex11fbc9560

4827420000 has 360 divisors, whose sum is σ = 18483008544. Its totient is φ = 1187712000.

The previous prime is 4827419969. The next prime is 4827420029. The reversal of 4827420000 is 247284.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 2338969 + ... + 2341031.

Almost surely, 24827420000 is an apocalyptic number.

4827420000 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 4827420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241504272).

4827420000 is an abundant number, since it is smaller than the sum of its proper divisors (13655588544).

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

4827420000 is a wasteful number, since it uses less digits than its factorization.

4827420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4827420000 is about 69479.6373047528. The cubic root of 4827420000 is about 1690.0713063526.

Adding to 4827420000 its reverse (247284), we get a palindrome (4827667284).

The spelling of 4827420000 in words is "four billion, eight hundred twenty-seven million, four hundred twenty thousand".