Search a number
-
+
5333952 = 263132137
BaseRepresentation
bin10100010110001111000000
3101000222210210
4110112033000
52331141302
6310154120
763223611
oct24261700
911028723
105333952
113013528
121952940
131149ab0
149cbc08
1570566c
hex5163c0

5333952 has 56 divisors (see below), whose sum is σ = 15205456. Its totient is φ = 1640448.

The previous prime is 5333929. The next prime is 5333959. The reversal of 5333952 is 2593335.

It is an Ulam number.

It is a d-powerful number, because it can be written as 54 + 37 + 312 + 314 + 92 + 56 + 210 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428 + ... + 3564.

It is an arithmetic number, because the mean of its divisors is an integer number (271526).

Almost surely, 25333952 is an apocalyptic number.

5333952 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 5333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602728).

5333952 is an abundant number, since it is smaller than the sum of its proper divisors (9871504).

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

5333952 is a wasteful number, since it uses less digits than its factorization.

5333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2155 counting only the distinct ones).

The product of its digits is 12150, while the sum is 30.

The square root of 5333952 is about 2309.5350181368. The cubic root of 5333952 is about 174.7228483750.

The spelling of 5333952 in words is "five million, three hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2137 2496 4274 6411 8548 12822 17096 25644 27781 34192 51288 55562 68384 83343 102576 111124 136768 166686 205152 222248 333372 410304 444496 666744 888992 1333488 1777984 2666976 5333952