Search a number
-
+
1682892225 = 325271956237
BaseRepresentation
bin110010001001110…
…1110010111000001
311100021122210010200
41210103232113001
511421310022400
6434554115413
756463230220
oct14423562701
94307583120
101682892225
11793a48923
123ab71bb69
1320a869721
1411d710cb7
159cb24b00
hex644ee5c1

1682892225 has 72 divisors (see below), whose sum is σ = 3626226240. Its totient is φ = 728818560.

The previous prime is 1682892157. The next prime is 1682892229. The reversal of 1682892225 is 5222982861.

It is not a de Polignac number, because 1682892225 - 27 = 1682892097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1682892229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1807 + ... + 58043.

Almost surely, 21682892225 is an apocalyptic number.

1682892225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1682892225 is an abundant number, since it is smaller than the sum of its proper divisors (1943334015).

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

1682892225 is a wasteful number, since it uses less digits than its factorization.

1682892225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56279 (or 56271 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1682892225 is about 41023.0694244105. The cubic root of 1682892225 is about 1189.4661883255.

The spelling of 1682892225 in words is "one billion, six hundred eighty-two million, eight hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925 56237 168711 281185 393659 506133 843555 1068503 1180977 1405925 1968295 2530665 3205509 3542931 4217775 5342515 5904885 7479521 9616527 9841475 12653325 16027545 17714655 22438563 26712575 29524425 37397605 48082635 67315689 80137725 88573275 112192815 186988025 240413175 336578445 560964075 1682892225