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5312500 = 225717
BaseRepresentation
bin10100010000111111110100
3100222220101021
4110100333310
52330000000
6305510524
763104224
oct24207764
910886337
105312500
112aa93a6
121942444
1311400bb
149c4084
156ee11a
hex510ff4

5312500 has 48 divisors (see below), whose sum is σ = 12304656. Its totient is φ = 2000000.

The previous prime is 5312491. The next prime is 5312507. The reversal of 5312500 is 52135.

It can be written as a sum of positive squares in 8 ways, for example, as 4691556 + 620944 = 2166^2 + 788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312492 + ... + 312508.

It is an arithmetic number, because the mean of its divisors is an integer number (256347).

Almost surely, 25312500 is an apocalyptic number.

5312500 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 5312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152328).

5312500 is an abundant number, since it is smaller than the sum of its proper divisors (6992156).

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

5312500 is an frugal number, since it uses more digits than its factorization.

5312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5312500 is about 2304.8861143232. The cubic root of 5312500 is about 174.4883011727.

Adding to 5312500 its reverse (52135), we get a palindrome (5364635).

It can be divided in two parts, 5 and 312500, that multiplied together give a square (1562500 = 12502).

The spelling of 5312500 in words is "five million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2500 3125 4250 6250 8500 10625 12500 15625 21250 31250 42500 53125 62500 78125 106250 156250 212500 265625 312500 531250 1062500 1328125 2656250 5312500