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368832025 = 522321672
BaseRepresentation
bin10101111110111…
…110111000011001
3221201000121102101
4111332332320121
51223410111100
6100333203401
712066010012
oct2576767031
9851017371
10368832025
1117a217a61
12a3630561
135b54ab03
1436db0009
15225a886a
hex15fbee19

368832025 has 27 divisors (see below), whose sum is σ = 480981151. Its totient is φ = 280546640.

The previous prime is 368832011. The next prime is 368832029. The reversal of 368832025 is 520238863.

The square root of 368832025 is 19205.

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

It can be written as a sum of positive squares in only one way, i.e., 132779529 + 236052496 = 11523^2 + 15364^2 .

It is not a de Polignac number, because 368832025 - 25 = 368831993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368832029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2208492 + ... + 2208658.

Almost surely, 2368832025 is an apocalyptic number.

368832025 is the 19205-th square number.

368832025 is the 9603-rd centered octagonal number.

It is an amenable number.

368832025 is a deficient number, since it is larger than the sum of its proper divisors (112149126).

368832025 is an equidigital number, since it uses as much as digits as its factorization.

368832025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 368832025 is about 717.1492375120.

The spelling of 368832025 in words is "three hundred sixty-eight million, eight hundred thirty-two thousand, twenty-five".

Divisors: 1 5 23 25 115 167 529 575 835 2645 3841 4175 13225 19205 27889 88343 96025 139445 441715 641447 697225 2208575 3207235 14753281 16036175 73766405 368832025