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4024125 = 32537273
BaseRepresentation
bin1111010110011100111101
321120110001200
433112130331
52012233000
6222130113
746130100
oct17263475
97513050
104024125
1122a9426
121420939
13aab851
1476a737
15547500
hex3d673d

4024125 has 72 divisors (see below), whose sum is σ = 8554104. Its totient is φ = 1814400.

The previous prime is 4024123. The next prime is 4024129. The reversal of 4024125 is 5214204.

4024125 = 853 + 863 + ... + 903.

It can be written as a sum of positive squares in 4 ways, for example, as 127449 + 3896676 = 357^2 + 1974^2 .

It is not a de Polignac number, because 4024125 - 21 = 4024123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4024098 and 4024107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55089 + ... + 55161.

It is an arithmetic number, because the mean of its divisors is an integer number (118807).

Almost surely, 24024125 is an apocalyptic number.

4024125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4024125 is an abundant number, since it is smaller than the sum of its proper divisors (4529979).

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

4024125 is a wasteful number, since it uses less digits than its factorization.

4024125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4024125 is about 2006.0221833270. The cubic root of 4024125 is about 159.0585994993.

Adding to 4024125 its reverse (5214204), we get a palindrome (9238329).

The spelling of 4024125 in words is "four million, twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 73 75 105 125 147 175 219 225 245 315 365 375 441 511 525 657 735 875 1095 1125 1225 1533 1575 1825 2205 2555 2625 3285 3577 3675 4599 5475 6125 7665 7875 9125 10731 11025 12775 16425 17885 18375 22995 27375 32193 38325 53655 55125 63875 82125 89425 114975 160965 191625 268275 447125 574875 804825 1341375 4024125