Search a number
-
+
4795070280 = 233571121319191
BaseRepresentation
bin1000111011100111…
…01111011101001000
3110101011202210211120
410131303233131020
534310014222110
62111450555240
7226553265510
oct43563573510
913334683746
104795070280
112040768300
12b19a38b20
135b55697c0
14336b98840
151d0e76870
hex11dcef748

4795070280 has 768 divisors, whose sum is σ = 20592230400. Its totient is φ = 866764800.

The previous prime is 4795070251. The next prime is 4795070311. The reversal of 4795070280 is 820705974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25104985 + ... + 25105175.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 24795070280 is an apocalyptic number.

4795070280 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 4795070280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296115200).

4795070280 is an abundant number, since it is smaller than the sum of its proper divisors (15797160120).

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

4795070280 is a wasteful number, since it uses less digits than its factorization.

4795070280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 4795070280 is about 69246.4459737827. The cubic root of 4795070280 is about 1686.2876485050.

The spelling of 4795070280 in words is "four billion, seven hundred ninety-five million, seventy thousand, two hundred eighty".