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2352625 = 53112959
BaseRepresentation
bin1000111110010111110001
311102112012021
420332113301
51100241000
6122231441
725665652
oct10762761
94375167
102352625
111367620
12955581
13644ab2
14453529
1531711a
hex23e5f1

2352625 has 32 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 1624000.

The previous prime is 2352619. The next prime is 2352631. The reversal of 2352625 is 5262532.

It is an interprime number because it is at equal distance from previous prime (2352619) and next prime (2352631).

It is not a de Polignac number, because 2352625 - 29 = 2352113 is a prime.

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

It is a d-powerful number, because it can be written as 22 + 38 + 58 + 28 + 6 + 211 + 59 .

2352625 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2352625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39846 + ... + 39904.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

22352625 is an apocalyptic number.

2352625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2352625 is a deficient number, since it is larger than the sum of its proper divisors (1016975).

2352625 is a wasteful number, since it uses less digits than its factorization.

2352625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 2352625 is about 1533.8269133119. The cubic root of 2352625 is about 132.9997738704. Note that the first 3 decimals are identical.

Adding to 2352625 its product of digits (3600), we get a square (2356225 = 15352).

The spelling of 2352625 in words is "two million, three hundred fifty-two thousand, six hundred twenty-five".

Divisors: 1 5 11 25 29 55 59 125 145 275 295 319 649 725 1375 1475 1595 1711 3245 3625 7375 7975 8555 16225 18821 39875 42775 81125 94105 213875 470525 2352625