Search a number
-
+
40790925 = 335278997
BaseRepresentation
bin1001101110011…
…0101110001101
32211202101122000
42123212232031
540420302200
64014142513
71003500660
oct233465615
984671560
1040790925
112103090a
12117b1a39
1385b2856
1455bb6d7
1538ab300
hex26e6b8d

40790925 has 96 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 18247680.

The previous prime is 40790921. The next prime is 40790927. The reversal of 40790925 is 52909704.

It is not a de Polignac number, because 40790925 - 22 = 40790921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40790925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40790921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420477 + ... + 420573.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 240790925 is an apocalyptic number.

40790925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40790925 is an abundant number, since it is smaller than the sum of its proper divisors (46703475).

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

40790925 is a wasteful number, since it uses less digits than its factorization.

40790925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 40790925 is about 6386.7773563825. Note that the first 3 decimals coincide. The cubic root of 40790925 is about 344.2345980645.

The spelling of 40790925 in words is "forty million, seven hundred ninety thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 89 97 105 135 175 189 225 267 291 315 445 485 525 623 675 679 801 873 945 1335 1455 1575 1869 2037 2225 2403 2425 2619 3115 3395 4005 4365 4725 5607 6111 6675 7275 8633 9345 10185 12015 13095 15575 16821 16975 18333 20025 21825 25899 28035 30555 43165 46725 50925 60075 60431 65475 77697 84105 91665 129495 140175 152775 181293 215825 233091 302155 388485 420525 458325 543879 647475 906465 1165455 1510775 1631637 1942425 2719395 4532325 5827275 8158185 13596975 40790925