Search a number
-
+
25741328 = 242921913
BaseRepresentation
bin110001000110…
…0100000010000
31210102210110112
41202030200100
523042210303
62315420452
7431540414
oct142144020
953383415
1025741328
1113591928
128754728
135443772
1435c0d44
1523d70d8
hex188c810

25741328 has 30 divisors (see below), whose sum is σ = 51679914. Its totient is φ = 12420352.

The previous prime is 25741283. The next prime is 25741337. The reversal of 25741328 is 82314752.

It can be written as a sum of positive squares in 3 ways, for example, as 8832784 + 16908544 = 2972^2 + 4112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25741294 and 25741303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12500 + ... + 14412.

Almost surely, 225741328 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 25741328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25839957).

25741328 is an abundant number, since it is smaller than the sum of its proper divisors (25938586).

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

25741328 is a wasteful number, since it uses less digits than its factorization.

25741328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1944 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 25741328 is about 5073.5912330419. The cubic root of 25741328 is about 295.2638757396.

The spelling of 25741328 in words is "twenty-five million, seven hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 1913 3364 3826 6728 7652 13456 15304 30608 55477 110954 221908 443816 887632 1608833 3217666 6435332 12870664 25741328