Search a number
-
+
25640032 = 2511233167
BaseRepresentation
bin110000111001…
…1110001100000
31210020122111211
41201303301200
523030440112
62313315504
7430636165
oct141636140
953218454
1025640032
1113522810
128705b94
135409622
14359606c
1523b70a7
hex1873c60

25640032 has 48 divisors (see below), whose sum is σ = 57480192. Its totient is φ = 11144320.

The previous prime is 25640023. The next prime is 25640033. The reversal of 25640032 is 23004652.

It is a happy number.

It is a super-2 number, since 2×256400322 = 1314822481922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25639985 and 25640012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25640033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6513 + ... + 9679.

It is an arithmetic number, because the mean of its divisors is an integer number (1197504).

Almost surely, 225640032 is an apocalyptic number.

25640032 is a gapful number since it is divisible by the number (22) 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 25640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740096).

25640032 is an abundant number, since it is smaller than the sum of its proper divisors (31840160).

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

25640032 is a wasteful number, since it uses less digits than its factorization.

25640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 25640032 is about 5063.5987202779. The cubic root of 25640032 is about 294.8760639976.

Adding to 25640032 its reverse (23004652), we get a palindrome (48644684).

The spelling of 25640032 in words is "twenty-five million, six hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 3167 4048 6334 8096 12668 25336 34837 50672 69674 72841 101344 139348 145682 278696 291364 557392 582728 801251 1114784 1165456 1602502 2330912 3205004 6410008 12820016 25640032