Search a number
-
+
25378656 = 2531671583
BaseRepresentation
bin110000011001…
…1111101100000
31202202100222020
41200303331200
522444104111
62303541440
7425500152
oct140637540
952670866
1025378656
11133643a6
1285ba880
135347674
143528ad2
152364906
hex1833f60

25378656 has 48 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 8403584.

The previous prime is 25378649. The next prime is 25378657. The reversal of 25378656 is 65687352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25378657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15241 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 225378656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25378656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

25378656 is an abundant number, since it is smaller than the sum of its proper divisors (41681568).

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

25378656 is a wasteful number, since it uses less digits than its factorization.

25378656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 25378656 is about 5037.7232952992. The cubic root of 25378656 is about 293.8706451168.

The spelling of 25378656 in words is "twenty-five million, three hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 1583 2004 2672 3166 4008 4749 5344 6332 8016 9498 12664 16032 18996 25328 37992 50656 75984 151968 264361 528722 793083 1057444 1586166 2114888 3172332 4229776 6344664 8459552 12689328 25378656