Search a number
-
+
4772017152 = 2103478219
BaseRepresentation
bin1000111000110111…
…10011010000000000
3110022120101120220000
410130123303100000
534233114022102
62105304520000
7226153322310
oct43433632000
913276346800
104772017152
112029752131
12b12180000
135b08577b6
14333ab7440
151cde2101c
hex11c6f3400

4772017152 has 220 divisors, whose sum is σ = 16287897120. Its totient is φ = 1363267584.

The previous prime is 4772017123. The next prime is 4772017157. The reversal of 4772017152 is 2517102774.

4772017152 is a `hidden beast` number, since 477 + 20 + 17 + 152 = 666.

It is a super-2 number, since 2×47720171522 = 45544295397964382208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772017157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 576499 + ... + 584717.

It is an arithmetic number, because the mean of its divisors is an integer number (74035896).

Almost surely, 24772017152 is an apocalyptic number.

4772017152 is a gapful number since it is divisible by the number (42) 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 4772017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143948560).

4772017152 is an abundant number, since it is smaller than the sum of its proper divisors (11515879968).

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

4772017152 is an equidigital number, since it uses as much as digits as its factorization.

4772017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 4772017152 is about 69079.7883030920. The cubic root of 4772017152 is about 1683.5809332181.

The spelling of 4772017152 in words is "four billion, seven hundred seventy-two million, seventeen thousand, one hundred fifty-two".