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4601025 = 3252112132
BaseRepresentation
bin10001100011010011000001
322122202102100
4101203103001
52134213100
6242341013
754052032
oct21432301
98582370
104601025
112662900
12165a769
13c51300
1487aa89
1560d400
hex4634c1

4601025 has 81 divisors (see below), whose sum is σ = 9808617. Its totient is φ = 2059200.

The previous prime is 4601011. The next prime is 4601029. The reversal of 4601025 is 5201064.

Adding to 4601025 its reverse (5201064), we get a palindrome (9802089).

It can be divided in two parts, 460 and 1025, that added together give a triangular number (1485 = T54).

4601025 = 13 + 23 + ... + 653.

It is a happy number.

The square root of 4601025 is 2145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1185921 + 3415104 = 1089^2 + 1848^2 .

It is not a de Polignac number, because 4601025 - 25 = 4600993 is a prime.

It is a Curzon number.

4601025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4600989 and 4601007.

It is not an unprimeable number, because it can be changed into a prime (4601029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 353919 + ... + 353931.

Almost surely, 24601025 is an apocalyptic number.

4601025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4601025 is the 2145-th square number.

4601025 is the 1073-rd centered octagonal number.

It is an amenable number.

4601025 is an abundant number, since it is smaller than the sum of its proper divisors (5207592).

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

4601025 is a wasteful number, since it uses less digits than its factorization.

4601025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 4601025 is about 166.3227017282.

The spelling of 4601025 in words is "four million, six hundred one thousand, twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 121 143 165 169 195 225 275 325 363 429 495 507 585 605 715 825 845 975 1089 1287 1521 1573 1815 1859 2145 2475 2535 2925 3025 3575 4225 4719 5445 5577 6435 7605 7865 9075 9295 10725 12675 14157 16731 20449 23595 27225 27885 32175 38025 39325 46475 61347 70785 83655 102245 117975 139425 184041 306735 353925 418275 511225 920205 1533675 4601025