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926289225 = 325220292
BaseRepresentation
bin110111001101100…
…000110101001001
32101112222100221100
4313031200311021
53344112223400
6231525332013
731645220451
oct6715406511
92345870840
10926289225
11435958894
1221a267009
13119b9c644
148b040d61
15564c1100
hex37360d49

926289225 has 27 divisors (see below), whose sum is σ = 1659905013. Its totient is φ = 493777440.

The previous prime is 926289223. The next prime is 926289227. The reversal of 926289225 is 522982629.

The square root of 926289225 is 30435.

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

926289225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (926289223) and next prime (926289227).

It can be written as a sum of positive squares in 4 ways, for example, as 256928841 + 669360384 = 16029^2 + 25872^2 .

It is not a de Polignac number, because 926289225 - 21 = 926289223 is a prime.

It is a super-2 number, since 2×9262892252 = 1716023456702201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (926289223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 455511 + ... + 457539.

Almost surely, 2926289225 is an apocalyptic number.

926289225 is the 30435-th square number.

926289225 is the 15218-th centered octagonal number.

It is an amenable number.

926289225 is a deficient number, since it is larger than the sum of its proper divisors (733615788).

926289225 is an equidigital number, since it uses as much as digits as its factorization.

926289225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 2037 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 926289225 is about 974.8000378882.

The spelling of 926289225 in words is "nine hundred twenty-six million, two hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2029 6087 10145 18261 30435 50725 91305 152175 456525 4116841 12350523 20584205 37051569 61752615 102921025 185257845 308763075 926289225