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5376384 = 273213359
BaseRepresentation
bin10100100000100110000000
3101010011000100
4110200212000
52334021014
6311122400
763461406
oct24404600
911104010
105376384
1130423a2
121973400
1311631c0
149dd476
15713009
hex520980

5376384 has 96 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1649664.

The previous prime is 5376379. The next prime is 5376389. The reversal of 5376384 is 4836735.

It is a happy number.

5376384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5376379) and next prime (5376389).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 53 + 36 + 73 + 68 + 313 + 87 + 46 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14797 + ... + 15155.

Almost surely, 25376384 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 5376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5376384 is an abundant number, since it is smaller than the sum of its proper divisors (11331216).

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

5376384 is a wasteful number, since it uses less digits than its factorization.

5376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 5376384 is about 2318.7030857788. The cubic root of 5376384 is about 175.1849364668.

The spelling of 5376384 in words is "five million, three hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 359 384 416 468 576 624 718 832 936 1077 1152 1248 1436 1664 1872 2154 2496 2872 3231 3744 4308 4667 4992 5744 6462 7488 8616 9334 11488 12924 14001 14976 17232 18668 22976 25848 28002 34464 37336 42003 45952 51696 56004 68928 74672 84006 103392 112008 137856 149344 168012 206784 224016 298688 336024 413568 448032 597376 672048 896064 1344096 1792128 2688192 5376384