Search a number
-
+
5394752000 = 2953117997
BaseRepresentation
bin1010000011000110…
…10110001000000000
3111220222011210111122
411001203112020000
542022024031000
62251152131412
7250454430641
oct50143261000
914828153448
105394752000
112319219030
121066836b68
1367c883561
1439269b6c8
15218930085
hex1418d6200

5394752000 has 320 divisors, whose sum is σ = 15014039040. Its totient is φ = 1916928000.

The previous prime is 5394751991. The next prime is 5394752053. The reversal of 5394752000 is 2574935.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55615952 + ... + 55616048.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 25394752000 is an apocalyptic number.

5394752000 is a gapful number since it is divisible by the number (50) 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 5394752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

5394752000 is an abundant number, since it is smaller than the sum of its proper divisors (9619287040).

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

5394752000 is an equidigital number, since it uses as much as digits as its factorization.

5394752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 5394752000 is about 73448.9754863878. The cubic root of 5394752000 is about 1753.8421163026.

The spelling of 5394752000 in words is "five billion, three hundred ninety-four million, seven hundred fifty-two thousand".