Search a number
-
+
2640625 = 56132
BaseRepresentation
bin1010000100101011110001
311222011020221
422010223301
51134000000
6132333041
731305421
oct12045361
94864227
102640625
111543a39
12a74181
13715c00
144ca481
1537261a
hex284af1

2640625 has 21 divisors (see below), whose sum is σ = 3574173. Its totient is φ = 1950000.

The previous prime is 2640581. The next prime is 2640643. The reversal of 2640625 is 5260462.

The square root of 2640625 is 1625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 1238769 + 1401856 = 1113^2 + 1184^2 .

It is not a de Polignac number, because 2640625 - 27 = 2640497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2640625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 203119 + ... + 203131.

22640625 is an apocalyptic number.

2640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2640625 is the 1625-th square number.

2640625 is the 813-rd centered octagonal number.

It is an amenable number.

2640625 is a deficient number, since it is larger than the sum of its proper divisors (933548).

2640625 is an frugal number, since it uses more digits than its factorization.

2640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 2640625 is about 138.2193703420.

Multiplying 2640625 by its sum of digits (25), we get a square (66015625 = 81252).

2640625 divided by its sum of digits (25) gives a square (105625 = 3252).

The spelling of 2640625 in words is "two million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 625 845 1625 3125 4225 8125 15625 21125 40625 105625 203125 528125 2640625