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54230765625 = 3856232
BaseRepresentation
bin110010100000011001…
…111101000000111001
312011222102202100000000
4302200121331000321
51342031034000000
640525133303213
73626613621261
oct624031750071
9164872670000
1054230765625
1120aa9942973
12a615934b09
13516342b03a
1428a65947a1
151626000000
hexca067d039

54230765625 has 189 divisors, whose sum is σ = 106289127763. Its totient is φ = 27665550000.

The previous prime is 54230765597. The next prime is 54230765669. The reversal of 54230765625 is 52656703245.

The square root of 54230765625 is 232875.

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

54230765625 is a `hidden beast` number, since 54 + 2 + 30 + 7 + 6 + 562 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47511356841 + 6719408784 = 217971^2 + 81972^2 .

It is not a de Polignac number, because 54230765625 - 219 = 54230241337 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2357859364 + ... + 2357859386.

Almost surely, 254230765625 is an apocalyptic number.

54230765625 is the 232875-th square number.

54230765625 is the 116438-th centered octagonal number.

It is an amenable number.

54230765625 is a deficient number, since it is larger than the sum of its proper divisors (52058362138).

54230765625 is an frugal number, since it uses more digits than its factorization.

54230765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 54230765625 in words is "fifty-four billion, two hundred thirty million, seven hundred sixty-five thousand, six hundred twenty-five".