Search a number
-
+
2038725 = 3252131741
BaseRepresentation
bin111110001101111000101
310211120121100
413301233011
51010214400
6111410313
723220543
oct7615705
93746540
102038725
1111727a7
12823999
13564c60
143b0d93
152a4100
hex1f1bc5

2038725 has 72 divisors (see below), whose sum is σ = 4265352. Its totient is φ = 921600.

The previous prime is 2038721. The next prime is 2038747. The reversal of 2038725 is 5278302.

It can be written as a sum of positive squares in 12 ways, for example, as 1179396 + 859329 = 1086^2 + 927^2 .

It is not a de Polignac number, because 2038725 - 22 = 2038721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038721) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49705 + ... + 49745.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

22038725 is an apocalyptic number.

2038725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2038725 is an abundant number, since it is smaller than the sum of its proper divisors (2226627).

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

2038725 is a wasteful number, since it uses less digits than its factorization.

2038725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2038725 is about 1427.8392766695. The cubic root of 2038725 is about 126.8000864107.

The spelling of 2038725 in words is "two million, thirty-eight thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 41 45 51 65 75 85 117 123 153 195 205 221 225 255 325 369 425 533 585 615 663 697 765 975 1025 1105 1275 1599 1845 1989 2091 2665 2925 3075 3315 3485 3825 4797 5525 6273 7995 9061 9225 9945 10455 13325 16575 17425 23985 27183 31365 39975 45305 49725 52275 81549 119925 135915 156825 226525 407745 679575 2038725