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3980025 = 325272192
BaseRepresentation
bin1111001011101011111001
321111012120100
433023223321
52004330100
6221150013
745554400
oct17135371
97435510
103980025
112279285
1213bb309
13a9475a
14758637
15539400
hex3cbaf9

3980025 has 81 divisors (see below), whose sum is σ = 8751951. Its totient is φ = 1723680.

The previous prime is 3980017. The next prime is 3980027. The reversal of 3980025 is 5200893.

The square root of 3980025 is 1995.

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

It can be written as a sum of positive squares in only one way, i.e., 1432809 + 2547216 = 1197^2 + 1596^2 .

It is not a de Polignac number, because 3980025 - 23 = 3980017 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3980027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 209466 + ... + 209484.

Almost surely, 23980025 is an apocalyptic number.

3980025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3980025 is the 1995-th square number.

3980025 is the 998-th centered octagonal number.

It is an amenable number.

3980025 is an abundant number, since it is smaller than the sum of its proper divisors (4771926).

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

3980025 is a wasteful number, since it uses less digits than its factorization.

3980025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 3980025 is about 158.4754279960.

The spelling of 3980025 in words is "three million, nine hundred eighty thousand, twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 105 133 147 171 175 225 245 285 315 361 399 441 475 525 665 735 855 931 1083 1197 1225 1425 1575 1805 1995 2205 2527 2793 3249 3325 3675 4275 4655 5415 5985 7581 8379 9025 9975 11025 12635 13965 16245 17689 22743 23275 27075 29925 37905 41895 53067 63175 69825 81225 88445 113715 159201 189525 209475 265335 442225 568575 796005 1326675 3980025