Search a number
-
+
4910105376 = 25321117231173
BaseRepresentation
bin1001001001010101…
…00100001100100000
3110200012020012022200
410210222210030200
540023441333001
62131120333200
7232451131011
oct44452441440
913605205280
104910105376
11209a698930
12b50474200
136033458c7
14348181008
151db0eb086
hex124aa4320

4910105376 has 432 divisors, whose sum is σ = 16799747328. Its totient is φ = 1347379200.

The previous prime is 4910105357. The next prime is 4910105377. The reversal of 4910105376 is 6735010194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4910105376.

It is not an unprimeable number, because it can be changed into a prime (4910105377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28382026 + ... + 28382198.

It is an arithmetic number, because the mean of its divisors is an integer number (38888304).

Almost surely, 24910105376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4910105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399873664).

4910105376 is an abundant number, since it is smaller than the sum of its proper divisors (11889641952).

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

4910105376 is a wasteful number, since it uses less digits than its factorization.

4910105376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4910105376 is about 70072.1440802263. The cubic root of 4910105376 is about 1699.6660677431. Note that the first 3 decimals are identical.

The spelling of 4910105376 in words is "four billion, nine hundred ten million, one hundred five thousand, three hundred seventy-six".