Search a number
-
+
4073625 = 33531771
BaseRepresentation
bin1111100010100010011001
321122221222000
433202202121
52020324000
6223151213
746424313
oct17424231
97587860
104073625
112332636
121445509
13ac823a
147807b3
15557000
hex3e2899

4073625 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 2016000.

The previous prime is 4073621. The next prime is 4073627. The reversal of 4073625 is 5263704.

It is a happy number.

4073625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4073625 - 22 = 4073621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4073621) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 57340 + ... + 57410.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

Almost surely, 24073625 is an apocalyptic number.

4073625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4073625 is a deficient number, since it is larger than the sum of its proper divisors (4013415).

4073625 is a wasteful number, since it uses less digits than its factorization.

4073625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4073625 is about 2018.3223231189. The cubic root of 4073625 is about 159.7081267404.

The spelling of 4073625 in words is "four million, seventy-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 71 75 85 125 135 153 213 225 255 355 375 425 459 639 675 765 1065 1125 1207 1275 1775 1917 2125 2295 3195 3375 3621 3825 5325 6035 6375 8875 9585 10863 11475 15975 18105 19125 26625 30175 32589 47925 54315 57375 79875 90525 150875 162945 239625 271575 452625 814725 1357875 4073625