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45505812 = 223111033347
BaseRepresentation
bin1010110110010…
…1110100010100
310011121221020110
42231211310110
543122141222
64303203020
71061536002
oct255456424
9104557213
1045505812
1123761210
12132a6470
139573921
146087a72
153edd30c
hex2b65d14

45505812 has 48 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 13651680.

The previous prime is 45505807. The next prime is 45505841. The reversal of 45505812 is 21850554.

45505812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45505812.

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 15 ways as a sum of consecutive naturals, for example, 11923 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 245505812 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 45505812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

45505812 is an abundant number, since it is smaller than the sum of its proper divisors (71486700).

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

45505812 is a wasteful number, since it uses less digits than its factorization.

45505812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 45505812 is about 6745.7995819621. The cubic root of 45505812 is about 357.0170491430.

The spelling of 45505812 in words is "forty-five million, five hundred five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3347 3399 4532 6694 6798 10041 13388 13596 20082 36817 40164 73634 110451 147268 220902 344741 441804 689482 1034223 1378964 2068446 3792151 4136892 7584302 11376453 15168604 22752906 45505812