Search a number
-
+
25942032 = 243437541
BaseRepresentation
bin110001011110…
…1100000010000
31210210222210000
41202331200100
523120121112
62324010000
7433334514
oct142754020
953728700
1025942032
11137096a6
128830900
1354b3c1c
143634144
1524267dc
hex18bd810

25942032 has 100 divisors (see below), whose sum is σ = 77255596. Its totient is φ = 8398080.

The previous prime is 25941997. The next prime is 25942093. The reversal of 25942032 is 23024952.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 8503056 = 4176^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25941987 and 25942005.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47682 + ... + 48222.

Almost surely, 225942032 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 25942032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38627798).

25942032 is an abundant number, since it is smaller than the sum of its proper divisors (51313564).

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

25942032 is a wasteful number, since it uses less digits than its factorization.

25942032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 25942032 is about 5093.3321116927. The cubic root of 25942032 is about 296.0292763836.

Adding to 25942032 its reverse (23024952), we get a palindrome (48966984).

The spelling of 25942032 in words is "twenty-five million, nine hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 541 592 648 666 888 999 1082 1296 1332 1623 1776 1998 2164 2664 2997 3246 3996 4328 4869 5328 5994 6492 7992 8656 9738 11988 12984 14607 15984 19476 20017 23976 25968 29214 38952 40034 43821 47952 58428 60051 77904 80068 87642 116856 120102 160136 175284 180153 233712 240204 320272 350568 360306 480408 540459 701136 720612 960816 1080918 1441224 1621377 2161836 2882448 3242754 4323672 6485508 8647344 12971016 25942032