Search a number
-
+
5625000 = 233257
BaseRepresentation
bin10101011101010010101000
3101120210001100
4111131102220
52420000000
6320321400
765545263
oct25352250
911523040
105625000
1131a2167
121a73260
13121c404
14a65cda
15761a00
hex55d4a8

5625000 has 96 divisors (see below), whose sum is σ = 19042920. Its totient is φ = 1500000.

The previous prime is 5624989. The next prime is 5625017. The reversal of 5625000 is 5265.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 2232036 = 1842^2 + 1494^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 1124998 + ... + 1125002.

Almost surely, 25625000 is an apocalyptic number.

5625000 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 5625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521460).

5625000 is an abundant number, since it is smaller than the sum of its proper divisors (13417920).

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

5625000 is an frugal number, since it uses more digits than its factorization.

5625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5625000 is about 2371.7082451263. The cubic root of 5625000 is about 177.8446652245.

The spelling of 5625000 in words is "five million, six hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3125 3750 4500 5000 5625 6250 7500 9000 9375 11250 12500 15000 15625 18750 22500 25000 28125 31250 37500 45000 46875 56250 62500 75000 78125 93750 112500 125000 140625 156250 187500 225000 234375 281250 312500 375000 468750 562500 625000 703125 937500 1125000 1406250 1875000 2812500 5625000