Search a number
-
+
5384395392 = 27337936997
BaseRepresentation
bin1010000001110111…
…10101101010000000
3111220020200121220120
411000323311222000
542011401123032
62250142140240
7250300414515
oct50073655200
914806617816
105384395392
112313394a52
121063281680
1367a69859c
1439116330c
15217a8662c
hex140ef5a80

5384395392 has 64 divisors (see below), whose sum is σ = 14340424800. Its totient is φ = 1790014464.

The previous prime is 5384395361. The next prime is 5384395399. The reversal of 5384395392 is 2935934835.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5384395399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127038 + ... + 164034.

Almost surely, 25384395392 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 5384395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170212400).

5384395392 is an abundant number, since it is smaller than the sum of its proper divisors (8956029408).

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

5384395392 is a wasteful number, since it uses less digits than its factorization.

5384395392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37393 (or 37381 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 5384395392 is about 73378.4395582245. The cubic root of 5384395392 is about 1752.7190809839.

The spelling of 5384395392 in words is "five billion, three hundred eighty-four million, three hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 36997 48512 72768 73994 110991 145536 147988 221982 295976 443964 591952 887928 1183904 1775856 2367808 3551712 4735616 7103424 14021863 14206848 28043726 42065589 56087452 84131178 112174904 168262356 224349808 336524712 448699616 673049424 897399232 1346098848 1794798464 2692197696 5384395392