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45046656 = 273239103
BaseRepresentation
bin1010101111010…
…1101110000000
310010202121101200
42223311232000
543012443111
64245301200
71054614234
oct253655600
9103677350
1045046656
1123478246
1213104800
139442935
145da85c4
153e4c256
hex2af5b80

45046656 has 48 divisors (see below), whose sum is σ = 129629760. Its totient is φ = 15015168.

The previous prime is 45046643. The next prime is 45046667. The reversal of 45046656 is 65664054.

It is a happy number.

45046656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45046656.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18400 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (2700620).

Almost surely, 245046656 is an apocalyptic number.

It is an amenable number.

45046656 is an abundant number, since it is smaller than the sum of its proper divisors (84583104).

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

45046656 is a wasteful number, since it uses less digits than its factorization.

45046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39123 (or 39108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45046656 is about 6711.6805645084. The cubic root of 45046656 is about 355.8122142228.

The spelling of 45046656 in words is "forty-five million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 39103 78206 117309 156412 234618 312824 351927 469236 625648 703854 938472 1251296 1407708 1876944 2502592 2815416 3753888 5005184 5630832 7507776 11261664 15015552 22523328 45046656