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4586675625 = 345472432
BaseRepresentation
bin1000100010110001…
…10001110110101001
3102211122122021010000
410101120301312221
533343142110000
62035044213213
7221443046100
oct42130616651
912748567100
104586675625
111a44071314
12a8009a209
1358133355c
1431722d037
151bca10000
hex111631da9

4586675625 has 225 divisors, whose sum is σ = 10196752401. Its totient is φ = 2048004000.

The previous prime is 4586675591. The next prime is 4586675627. The reversal of 4586675625 is 5265766854.

The square root of 4586675625 is 67725.

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

4586675625 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 6 + 7 + 5 + 625 = 666.

4586675625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 359595369 + 4227080256 = 18963^2 + 65016^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 4586675625 - 29 = 4586675113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4586675627) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 106666854 + ... + 106666896.

Almost surely, 24586675625 is an apocalyptic number.

4586675625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4586675625 is the 67725-th square number.

4586675625 is the 33863-rd centered octagonal number.

It is an amenable number.

4586675625 is an abundant number, since it is smaller than the sum of its proper divisors (5610076776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4586675625 is an frugal number, since it uses more digits than its factorization.

4586675625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 58 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The cubic root of 4586675625 is about 1661.4961622289.

The spelling of 4586675625 in words is "four billion, five hundred eighty-six million, six hundred seventy-five thousand, six hundred twenty-five".