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25986064 = 2413177349
BaseRepresentation
bin110001100100…
…0010000010000
31210220020011211
41203020100100
523123023224
62324545504
7433610056
oct143102020
953806154
1025986064
1113739795
128852294
1354cac90
1436461d6
152434894
hex18c8410

25986064 has 40 divisors (see below), whose sum is σ = 57418200. Its totient is φ = 11286528.

The previous prime is 25986049. The next prime is 25986083. The reversal of 25986064 is 46068952.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4752400 + 21233664 = 2180^2 + 4608^2 .

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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 7210.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 225986064 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 25986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28709100).

25986064 is an abundant number, since it is smaller than the sum of its proper divisors (31432136).

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

25986064 is a wasteful number, since it uses less digits than its factorization.

25986064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 25986064 is about 5097.6527931981. The cubic root of 25986064 is about 296.1966674514.

The spelling of 25986064 in words is "twenty-five million, nine hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 7349 14698 29396 58792 95537 117584 124933 191074 249866 382148 499732 764296 999464 1528592 1624129 1998928 3248258 6496516 12993032 25986064