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5381376 = 283721113
BaseRepresentation
bin10100100001110100000000
3101010101212020
4110201310000
52334201001
6311201440
763512100
oct24416400
911111766
105381376
113046120
121976280
131165560
14a01200
15714736
hex521d00

5381376 has 216 divisors, whose sum is σ = 19573344. Its totient is φ = 1290240.

The previous prime is 5381353. The next prime is 5381377. The reversal of 5381376 is 6731835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (15120) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5381377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413946 + ... + 413958.

Almost surely, 25381376 is an apocalyptic number.

5381376 is a gapful number since it is divisible by the number (56) 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 5381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786672).

5381376 is an abundant number, since it is smaller than the sum of its proper divisors (14191968).

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

5381376 is a wasteful number, since it uses less digits than its factorization.

5381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 5381376 is about 2319.7792998473. The cubic root of 5381376 is about 175.2391397303.

The spelling of 5381376 in words is "five million, three hundred eighty-one thousand, three hundred seventy-six".