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3129843025 = 526721672
BaseRepresentation
bin1011101010001101…
…1001110101010001
322002010100111111001
42322203121311101
522402214434100
61234323222001
7140363140531
oct27243316521
98063314431
103129843025
111366795431
12734217901
133ab57672a
142199654c1
15134b90d6a
hexba8d9d51

3129843025 has 27 divisors (see below), whose sum is σ = 3963528219. Its totient is φ = 2451733680.

The previous prime is 3129843007. The next prime is 3129843043. The reversal of 3129843025 is 5203489213.

3129843025 = 13 + 23 + ... + 3343.

The square root of 3129843025 is 55945.

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

It is an interprime number because it is at equal distance from previous prime (3129843007) and next prime (3129843043).

It can be written as a sum of positive squares in only one way, i.e., 1126743489 + 2003099536 = 33567^2 + 44756^2 .

It is not a de Polignac number, because 3129843025 - 25 = 3129842993 is a prime.

It is a super-2 number, since 2×31298430252 = 19591834722282301250, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 18741492 + ... + 18741658.

Almost surely, 23129843025 is an apocalyptic number.

3129843025 is the 55945-th square number.

3129843025 is the 27973-rd centered octagonal number.

It is an amenable number.

3129843025 is a deficient number, since it is larger than the sum of its proper divisors (833685194).

3129843025 is an frugal number, since it uses more digits than its factorization.

3129843025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 3129843025 is about 1462.7637374707.

The spelling of 3129843025 in words is "three billion, one hundred twenty-nine million, eight hundred forty-three thousand, twenty-five".

Divisors: 1 5 25 67 167 335 835 1675 4175 4489 11189 22445 27889 55945 112225 139445 279725 697225 749663 1868563 3748315 9342815 18741575 46714075 125193721 625968605 3129843025