Search a number
-
+
25042000 = 245319659
BaseRepresentation
bin101111110000…
…1110001010000
31202010021011111
41133201301100
522402321000
62252423104
7422565514
oct137416120
952107144
1025042000
1113154475
128477a94
13525a369
14347c144
1522e9cba
hex17e1c50

25042000 has 80 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 9475200.

The previous prime is 25041997. The next prime is 25042001. The reversal of 25042000 is 24052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37671 + ... + 38329.

It is an arithmetic number, because the mean of its divisors is an integer number (797940).

Almost surely, 225042000 is an apocalyptic number.

25042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

25042000 is an abundant number, since it is smaller than the sum of its proper divisors (38793200).

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

25042000 is a wasteful number, since it uses less digits than its factorization.

25042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 25042000 is about 5004.1982374802. The cubic root of 25042000 is about 292.5654272029.

Adding to 25042000 its reverse (24052), we get a palindrome (25066052).

The spelling of 25042000 in words is "twenty-five million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 659 760 950 1000 1318 1520 1900 2000 2375 2636 3295 3800 4750 5272 6590 7600 9500 10544 12521 13180 16475 19000 25042 26360 32950 38000 50084 52720 62605 65900 82375 100168 125210 131800 164750 200336 250420 263600 313025 329500 500840 626050 659000 1001680 1252100 1318000 1565125 2504200 3130250 5008400 6260500 12521000 25042000