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25916064 = 253499541
BaseRepresentation
bin110001011011…
…1001010100000
31210202200011020
41202313022200
523113303224
62323245440
7433166016
oct142671240
953680136
1025916064
11136a1139
128819880
1354a5165
1436288b6
15241dc79
hex18b72a0

25916064 has 48 divisors (see below), whose sum is σ = 68292000. Its totient is φ = 8605440.

The previous prime is 25916063. The next prime is 25916083. The reversal of 25916064 is 46061952.

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

It is not an unprimeable number, because it can be changed into a prime (25916063) 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, 47634 + ... + 48174.

It is an arithmetic number, because the mean of its divisors is an integer number (1422750).

Almost surely, 225916064 is an apocalyptic number.

25916064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25916064 is an abundant number, since it is smaller than the sum of its proper divisors (42375936).

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

25916064 is a wasteful number, since it uses less digits than its factorization.

25916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 25916064 is about 5090.7822581603. The cubic root of 25916064 is about 295.9304682065.

The spelling of 25916064 in words is "twenty-five million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 499 541 998 1082 1497 1623 1996 2164 2994 3246 3992 4328 5988 6492 7984 8656 11976 12984 15968 17312 23952 25968 47904 51936 269959 539918 809877 1079836 1619754 2159672 3239508 4319344 6479016 8638688 12958032 25916064