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3920638225 = 527217892
BaseRepresentation
bin1110100110110000…
…0011000100010001
3101010020101001120011
43221230003010101
531012140410400
61445012514521
7166104606100
oct35154030421
911106331504
103920638225
111732109589
1291501ba41
134a635599a
142929b6037
1517e2ea8ba
hexe9b03111

3920638225 has 27 divisors (see below), whose sum is σ = 5658483537. Its totient is φ = 2686934880.

The previous prime is 3920638223. The next prime is 3920638237. The reversal of 3920638225 is 5228360293.

It is a happy number.

The square root of 3920638225 is 62615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 613008081 + 3307630144 = 24759^2 + 57512^2 .

It is not a de Polignac number, because 3920638225 - 21 = 3920638223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3920638223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2190631 + ... + 2192419.

Almost surely, 23920638225 is an apocalyptic number.

3920638225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3920638225 is the 62615-th square number.

3920638225 is the 31308-th centered octagonal number.

It is an amenable number.

3920638225 is a deficient number, since it is larger than the sum of its proper divisors (1737845312).

3920638225 is an frugal number, since it uses more digits than its factorization.

3920638225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The cubic root of 3920638225 is about 1576.8325993529.

The spelling of 3920638225 in words is "three billion, nine hundred twenty million, six hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1789 8945 12523 44725 62615 87661 313075 438305 2191525 3200521 16002605 22403647 80013025 112018235 156825529 560091175 784127645 3920638225