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5772200625 = 325410132
BaseRepresentation
bin1010110000000110…
…01100101010110001
3112220021102011200100
411120003030222301
543310140410000
62352434143013
7263016616152
oct53003145261
915807364610
105772200625
1124a2290844
121151121a69
1370cb2a339
143ca871929
1523bb3ba00
hex1580ccab1

5772200625 has 45 divisors (see below), whose sum is σ = 10428988999. Its totient is φ = 3075468000.

The previous prime is 5772200617. The next prime is 5772200633. The reversal of 5772200625 is 5260022775.

The square root of 5772200625 is 75975.

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

5772200625 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 20 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (5772200617) and next prime (5772200633).

It can be written as a sum of positive squares in 7 ways, for example, as 5447768481 + 324432144 = 73809^2 + 18012^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5772200625 - 23 = 5772200617 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5772200625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5697619 + ... + 5698631.

Almost surely, 25772200625 is an apocalyptic number.

5772200625 is the 75975-th square number.

5772200625 is the 37988-th centered octagonal number.

It is an amenable number.

5772200625 is a deficient number, since it is larger than the sum of its proper divisors (4656788374).

5772200625 is an frugal number, since it uses more digits than its factorization.

5772200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 5772200625 is about 1793.8266527883.

Multiplying 5772200625 by its sum of digits (36), we get a square (207799222500 = 4558502).

The spelling of 5772200625 in words is "five billion, seven hundred seventy-two million, two hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1013 1125 1875 3039 5065 5625 9117 15195 25325 45585 75975 126625 227925 379875 633125 1026169 1139625 1899375 3078507 5130845 5698125 9235521 15392535 25654225 46177605 76962675 128271125 230888025 384813375 641355625 1154440125 1924066875 5772200625