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5332500 = 22335479
BaseRepresentation
bin10100010101111000010100
3101000220211000
4110111320110
52331120000
6310143300
763216435
oct24257024
911026730
105332500
113012428
121951b30
131149234
149cb48c
15705000
hex515e14

5332500 has 120 divisors (see below), whose sum is σ = 17494400. Its totient is φ = 1404000.

The previous prime is 5332499. The next prime is 5332513. The reversal of 5332500 is 52335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67461 + ... + 67539.

Almost surely, 25332500 is an apocalyptic number.

5332500 is a gapful number since it is divisible by the number (50) 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 5332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747200).

5332500 is an abundant number, since it is smaller than the sum of its proper divisors (12161900).

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

5332500 is a wasteful number, since it uses less digits than its factorization.

5332500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5332500 is about 2309.2206477511. The cubic root of 5332500 is about 174.7069926768.

Adding to 5332500 its reverse (52335), we get a palindrome (5384835).

It can be divided in two parts, 5332 and 500, that added together give a cube (5832 = 183).

The spelling of 5332500 in words is "five million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 79 90 100 108 125 135 150 158 180 225 237 250 270 300 316 375 395 450 474 500 540 625 675 711 750 790 900 948 1125 1185 1250 1350 1422 1500 1580 1875 1975 2133 2250 2370 2500 2700 2844 3375 3555 3750 3950 4266 4500 4740 5625 5925 6750 7110 7500 7900 8532 9875 10665 11250 11850 13500 14220 16875 17775 19750 21330 22500 23700 29625 33750 35550 39500 42660 49375 53325 59250 67500 71100 88875 98750 106650 118500 148125 177750 197500 213300 266625 296250 355500 444375 533250 592500 888750 1066500 1333125 1777500 2666250 5332500