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2473625 = 53711257
BaseRepresentation
bin1001011011111010011001
311122200011202
421123322121
51113124000
6125003545
730011510
oct11337231
94580152
102473625
11143a520
129b35b5
13687bab
14485677
1533cdd5
hex25be99

2473625 has 32 divisors (see below), whose sum is σ = 3863808. Its totient is φ = 1536000.

The previous prime is 2473609. The next prime is 2473631. The reversal of 2473625 is 5263742.

2473625 = T214 + T215 + ... + T290.

It is not a de Polignac number, because 2473625 - 24 = 2473609 is a prime.

It is a super-2 number, since 2×24736252 = 12237641281250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 211 + 49 + 74 + 3 + 68 + 219 + 55 .

It is a Duffinian number.

Its product of digits (10080) is a multiple of the sum of its prime divisors (280).

It is a Curzon number.

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, 9497 + ... + 9753.

It is an arithmetic number, because the mean of its divisors is an integer number (120744).

22473625 is an apocalyptic number.

2473625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2473625 is a deficient number, since it is larger than the sum of its proper divisors (1390183).

2473625 is a wasteful number, since it uses less digits than its factorization.

2473625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 2473625 is about 1572.7762078567. The cubic root of 2473625 is about 135.2419073722.

The spelling of 2473625 in words is "two million, four hundred seventy-three thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 125 175 257 275 385 875 1285 1375 1799 1925 2827 6425 8995 9625 14135 19789 32125 44975 70675 98945 224875 353375 494725 2473625