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464252225 = 52416732
BaseRepresentation
bin11011101010111…
…110110101000001
31012100120110022212
4123222332311001
51422322032400
6114022311505
714335036013
oct3352766501
91170513285
10464252225
11219070628
1210b588595
1375249b78
144592c1b3
152ab56335
hex1babed41

464252225 has 18 divisors (see below), whose sum is σ = 590591106. Its totient is φ = 361804800.

The previous prime is 464252207. The next prime is 464252227. The reversal of 464252225 is 522252464.

It can be written as a sum of positive squares in 9 ways, for example, as 325766401 + 138485824 = 18049^2 + 11768^2 .

It is not a de Polignac number, because 464252225 - 28 = 464251969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 464252191 and 464252200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464252227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 689489 + ... + 690161.

It is an arithmetic number, because the mean of its divisors is an integer number (32810617).

Almost surely, 2464252225 is an apocalyptic number.

It is an amenable number.

464252225 is a deficient number, since it is larger than the sum of its proper divisors (126338881).

464252225 is an frugal number, since it uses more digits than its factorization.

464252225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 719 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 464252225 is about 21546.5130589615. The cubic root of 464252225 is about 774.3155802817.

The spelling of 464252225 in words is "four hundred sixty-four million, two hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 673 1025 3365 16825 27593 137965 452929 689825 2264645 11323225 18570089 92850445 464252225