Search a number
-
+
4917017952 = 253371126719
BaseRepresentation
bin1001001010001001…
…11011110101100000
3110200200020101121000
410211010323311200
540032224033302
62131524432000
7232563651210
oct44504736540
913620211530
104917017952
1120a358a400
12b52848600
136048c60a2
14349060240
151dba1431c
hex12513bd60

4917017952 has 288 divisors, whose sum is σ = 18018201600. Its totient is φ = 1276957440.

The previous prime is 4917017951. The next prime is 4917017953. The reversal of 4917017952 is 2597107194.

4917017952 is a `hidden beast` number, since 491 + 70 + 1 + 7 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4917017951) and next prime (4917017953).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4917017898 and 4917017907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4917017951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728449 + ... + 735167.

It is an arithmetic number, because the mean of its divisors is an integer number (62563200).

Almost surely, 24917017952 is an apocalyptic number.

4917017952 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 4917017952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9009100800).

4917017952 is an abundant number, since it is smaller than the sum of its proper divisors (13101183648).

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

4917017952 is a wasteful number, since it uses less digits than its factorization.

4917017952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 4917017952 is about 70121.4514396272. The cubic root of 4917017952 is about 1700.4633053260.

The spelling of 4917017952 in words is "four billion, nine hundred seventeen million, seventeen thousand, nine hundred fifty-two".