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5428005625 = 54724212
BaseRepresentation
bin1010000111000100…
…01100101011111001
3112000021202020220101
411003202030223321
542104032140000
62254340555401
7251340200200
oct50342145371
915007666811
105428005625
112335a70a69
1210759b2b61
13686727463
14396c76237
1521b7ece6a
hex14388caf9

5428005625 has 45 divisors (see below), whose sum is σ = 7909023771. Its totient is φ = 3713220000.

The previous prime is 5428005619. The next prime is 5428005629. The reversal of 5428005625 is 5265008245.

The square root of 5428005625 is 73675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5181264361 + 246741264 = 71981^2 + 15708^2 .

It is not a de Polignac number, because 5428005625 - 23 = 5428005617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5428005629) 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, 12892915 + ... + 12893335.

Almost surely, 25428005625 is an apocalyptic number.

5428005625 is the 73675-th square number.

5428005625 is the 36838-th centered octagonal number.

It is an amenable number.

5428005625 is a deficient number, since it is larger than the sum of its proper divisors (2481018146).

5428005625 is an frugal number, since it uses more digits than its factorization.

5428005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The cubic root of 5428005625 is about 1757.4383387005.

The spelling of 5428005625 in words is "five billion, four hundred twenty-eight million, five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 421 625 875 1225 2105 2947 4375 6125 10525 14735 20629 30625 52625 73675 103145 177241 263125 368375 515725 886205 1240687 1841875 2578625 4431025 6203435 8684809 12893125 22155125 31017175 43424045 110775625 155085875 217120225 775429375 1085601125 5428005625