Search a number
-
+
5365152 = 2532131433
BaseRepresentation
bin10100011101110110100000
3101002120121100
4110131312200
52333141102
6310554400
763413562
oct24356640
911076540
105365152
113034a11
121968a00
13115b060
149d9332
1570ea1c
hex51dda0

5365152 has 72 divisors (see below), whose sum is σ = 16442244. Its totient is φ = 1649664.

The previous prime is 5365147. The next prime is 5365169. The reversal of 5365152 is 2515635.

5365152 is a `hidden beast` number, since 5 + 3 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 1296 = 2316^2 + 36^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028 + ... + 4460.

Almost surely, 25365152 is an apocalyptic number.

5365152 is a gapful number since it is divisible by the number (52) 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 5365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221122).

5365152 is an abundant number, since it is smaller than the sum of its proper divisors (11077092).

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

5365152 is a wasteful number, since it uses less digits than its factorization.

5365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1451 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 5365152 is about 2316.2797758475. The cubic root of 5365152 is about 175.0628563322.

The spelling of 5365152 in words is "five million, three hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1433 1872 2866 3744 4299 5732 8598 11464 12897 17196 18629 22928 25794 34392 37258 45856 51588 55887 68784 74516 103176 111774 137568 149032 167661 206352 223548 298064 335322 412704 447096 596128 670644 894192 1341288 1788384 2682576 5365152