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45282440406 = 23741253910357
BaseRepresentation
bin101010001011000010…
…110011010011010110
311022212210220022110110
4222023002303103112
51220214301043111
632445155503450
73162066251460
oct521302632326
9138783808413
1045282440406
1118227836775
128938bb7b86
1343685a1548
142297d91130
1512a062e5a6
hexa8b0b34d6

45282440406 has 64 divisors (see below), whose sum is σ = 106079178240. Its totient is φ = 12616093440.

The previous prime is 45282440377. The next prime is 45282440431. The reversal of 45282440406 is 60404428254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4366980 + ... + 4377336.

It is an arithmetic number, because the mean of its divisors is an integer number (1657487160).

Almost surely, 245282440406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45282440406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53039589120).

45282440406 is an abundant number, since it is smaller than the sum of its proper divisors (60796737834).

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

45282440406 is a wasteful number, since it uses less digits than its factorization.

45282440406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949.

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 45282440406 in words is "forty-five billion, two hundred eighty-two million, four hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 2539 5078 7617 10357 15234 17773 20714 31071 35546 53319 62142 72499 104099 106638 144998 208198 217497 312297 424637 434994 624594 728693 849274 1273911 1457386 2186079 2547822 2972459 4372158 5944918 8917377 17834754 26296423 52592846 78889269 157778538 184074961 368149922 552224883 1078153343 1104449766 2156306686 3234460029 6468920058 7547073401 15094146802 22641220203 45282440406