Search a number
-
+
5953248 = 253272953
BaseRepresentation
bin10110101101011011100000
3102012110022200
4112231123200
53011000443
6331333200
7101413260
oct26553340
912173280
105953248
1133a6844
121bb1200
131305942
14b0d7a0
157c8dd3
hex5ad6e0

5953248 has 72 divisors (see below), whose sum is σ = 19354608. Its totient is φ = 1700352.

The previous prime is 5953237. The next prime is 5953267. The reversal of 5953248 is 8423595.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540 + ... + 3492.

It is an arithmetic number, because the mean of its divisors is an integer number (268814).

Almost surely, 25953248 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 5953248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677304).

5953248 is an abundant number, since it is smaller than the sum of its proper divisors (13401360).

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

5953248 is a wasteful number, since it uses less digits than its factorization.

5953248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2965 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5953248 is about 2439.9278677863. The cubic root of 5953248 is about 181.2388613052.

The spelling of 5953248 in words is "five million, nine hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2953 5906 8859 11812 17718 20671 23624 26577 35436 41342 47248 53154 62013 70872 82684 94496 106308 124026 141744 165368 186039 212616 248052 283488 330736 372078 425232 496104 661472 744156 850464 992208 1488312 1984416 2976624 5953248