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5993376 = 253149419
BaseRepresentation
bin10110110111001110100000
3102021111100220
4112313032200
53013242001
6332243040
7101641254
oct26671640
912244326
105993376
113423a04
122010480
13131ac9c
14b20264
157d5c36
hex5b73a0

5993376 has 48 divisors (see below), whose sum is σ = 15876000. Its totient is φ = 1979648.

The previous prime is 5993359. The next prime is 5993387. The reversal of 5993376 is 6733995.

5993376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14095 + ... + 14513.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 25993376 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 5993376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938000).

5993376 is an abundant number, since it is smaller than the sum of its proper divisors (9882624).

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

5993376 is a wasteful number, since it uses less digits than its factorization.

5993376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 5993376 is about 2448.1372510544. The cubic root of 5993376 is about 181.6451646221.

The spelling of 5993376 in words is "five million, nine hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 419 447 596 838 894 1192 1257 1676 1788 2384 2514 3352 3576 4768 5028 6704 7152 10056 13408 14304 20112 40224 62431 124862 187293 249724 374586 499448 749172 998896 1498344 1997792 2996688 5993376