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3730155625 = 54723492
BaseRepresentation
bin1101111001010101…
…1010100001101001
3100121221221112120001
43132111122201221
530114404440000
61414050103001
7161302541200
oct33625324151
910557845501
103730155625
111644637149
1288127aa61
13475a516a1
14275590237
1516c72146a
hexde55a869

3730155625 has 45 divisors (see below), whose sum is σ = 5437796067. Its totient is φ = 2550492000.

The previous prime is 3730155619. The next prime is 3730155641. The reversal of 3730155625 is 5265510373.

3730155625 = 13 + 23 + ... + 3493.

The square root of 3730155625 is 61075.

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 2015201881 + 1714953744 = 44891^2 + 41412^2 .

It is not a de Polignac number, because 3730155625 - 25 = 3730155593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10687951 + ... + 10688299.

Almost surely, 23730155625 is an apocalyptic number.

3730155625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3730155625 is the 61075-th square number.

3730155625 is the 30538-th centered octagonal number.

It is an amenable number.

3730155625 is a deficient number, since it is larger than the sum of its proper divisors (1707640442).

3730155625 is an frugal number, since it uses more digits than its factorization.

3730155625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 37.

The cubic root of 3730155625 is about 1550.8709118796.

Adding to 3730155625 its reverse (5265510373), we get a palindrome (8995665998).

The spelling of 3730155625 in words is "three billion, seven hundred thirty million, one hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 349 625 875 1225 1745 2443 4375 6125 8725 12215 17101 30625 43625 61075 85505 121801 218125 305375 427525 609005 852607 1526875 2137625 3045025 4263035 5968249 10688125 15225125 21315175 29841245 76125625 106575875 149206225 532879375 746031125 3730155625