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442790430625 = 544326192
BaseRepresentation
bin1100111000110000101…
…11011100011110100001
31120022220211022110200201
412130120113130132201
524223313322240000
6535225355345201
743663521363034
oct6343027343641
91508824273621
10442790430625
11160871722254
1271995752201
13329a784a28a
14176071c301b
15b7b837996a
hex67185dc7a1

442790430625 has 45 divisors (see below), whose sum is σ = 567394495173. Its totient is φ = 345435426000.

The previous prime is 442790430611. The next prime is 442790430629. The reversal of 442790430625 is 526034097244.

The square root of 442790430625 is 665425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 34714769761 + 408075660864 = 186319^2 + 638808^2 .

It is a de Polignac number, because none of the positive numbers 2k-442790430625 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442790430629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 715331566 + ... + 715332184.

Almost surely, 2442790430625 is an apocalyptic number.

442790430625 is the 665425-th square number.

442790430625 is the 332713-rd centered octagonal number.

It is an amenable number.

442790430625 is a deficient number, since it is larger than the sum of its proper divisors (124604064548).

442790430625 is an frugal number, since it uses more digits than its factorization.

442790430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 442790430625 in words is "four hundred forty-two billion, seven hundred ninety million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 43 125 215 619 625 1075 1849 3095 5375 9245 15475 26617 26875 46225 77375 133085 231125 383161 386875 665425 1144531 1155625 1915805 3327125 5722655 9579025 16475923 16635625 28613275 47895125 82379615 143066375 239475625 411898075 708464689 715331875 2059490375 3542323445 10297451875 17711617225 88558086125 442790430625