Search a number
-
+
5450001984 = 2632717233457
BaseRepresentation
bin1010001001101100…
…00110111001000000
3112001211010210020100
411010312012321000
542130200030414
62300444242400
7252025152420
oct50466067100
915054123210
105450001984
112347425179
121081240400
1368b15945b
14399b60480
1521d6e5609
hex144d86e40

5450001984 has 336 divisors, whose sum is σ = 19730850048. Its totient is φ = 1401421824.

The previous prime is 5450001979. The next prime is 5450001989. The reversal of 5450001984 is 4891000545.

It is an interprime number because it is at equal distance from previous prime (5450001979) and next prime (5450001989).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (5450001989) 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 47 ways as a sum of consecutive naturals, for example, 1574784 + ... + 1578240.

It is an arithmetic number, because the mean of its divisors is an integer number (58722768).

Almost surely, 25450001984 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 5450001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865425024).

5450001984 is an abundant number, since it is smaller than the sum of its proper divisors (14280848064).

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

5450001984 is a wasteful number, since it uses less digits than its factorization.

5450001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5450001984 is about 73824.1287385093. The cubic root of 5450001984 is about 1759.8090770858.

The spelling of 5450001984 in words is "five billion, four hundred fifty million, one thousand, nine hundred eighty-four".