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3099705625 = 541721312
BaseRepresentation
bin1011100011000001…
…1100000100011001
322000000122100202001
42320300130010121
522322011040000
61231325241001
7136546030432
oct27060340431
98000570661
103099705625
111350780795
12726103161
133a5254053
1421595c489
151321db46a
hexb8c1c119

3099705625 has 45 divisors (see below), whose sum is σ = 4146290731. Its totient is φ = 2316080000.

The previous prime is 3099705613. The next prime is 3099705641. The reversal of 3099705625 is 5265079903.

It is a happy number.

The square root of 3099705625 is 55675.

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 1513754649 + 1585950976 = 38907^2 + 39824^2 .

It is not a de Polignac number, because 3099705625 - 221 = 3097608473 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 23661810 + ... + 23661940.

Almost surely, 23099705625 is an apocalyptic number.

3099705625 is the 55675-th square number.

3099705625 is the 27838-th centered octagonal number.

It is an amenable number.

3099705625 is a deficient number, since it is larger than the sum of its proper divisors (1046585106).

3099705625 is an frugal number, since it uses more digits than its factorization.

3099705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 46.

The cubic root of 3099705625 is about 1458.0535808055.

The spelling of 3099705625 in words is "three billion, ninety-nine million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 131 289 425 625 655 1445 2125 2227 3275 7225 10625 11135 16375 17161 36125 37859 55675 81875 85805 180625 189295 278375 291737 429025 946475 1391875 1458685 2145125 4732375 4959529 7293425 10725625 23661875 24797645 36467125 123988225 182335625 619941125 3099705625