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45014656 = 27401877
BaseRepresentation
bin1010101110110…
…1111010000000
310010200222111111
42223231322000
543010432111
64244453104
71054422031
oct253557200
9103628444
1045014656
11234561a5
12130aa194
1394311bb
145d9aa88
153e42a21
hex2aede80

45014656 has 32 divisors (see below), whose sum is σ = 90003780. Its totient is φ = 22425600.

The previous prime is 45014653. The next prime is 45014659. The reversal of 45014656 is 65641054.

45014656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45014653) and next prime (45014659).

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 11560000 = 5784^2 + 3400^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×450146563 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45014653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50890 + ... + 51766.

Almost surely, 245014656 is an apocalyptic number.

It is an amenable number.

45014656 is a deficient number, since it is larger than the sum of its proper divisors (44989124).

45014656 is an equidigital number, since it uses as much as digits as its factorization.

45014656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 45014656 is about 6709.2962373113. The cubic root of 45014656 is about 355.7279409452.

The spelling of 45014656 in words is "forty-five million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 401 802 877 1604 1754 3208 3508 6416 7016 12832 14032 25664 28064 51328 56128 112256 351677 703354 1406708 2813416 5626832 11253664 22507328 45014656