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44356842 = 23317211229
BaseRepresentation
bin1010100100110…
…1010011101010
310002110120011000
42221031103222
542323404332
64222415430
71046012145
oct251152352
9102416130
1044356842
1123046a52
1212a31576
13926096a
145c6905c
153d62b7c
hex2a4d4ea

44356842 has 64 divisors (see below), whose sum is σ = 105321600. Its totient is φ = 13789440.

The previous prime is 44356831. The next prime is 44356843. The reversal of 44356842 is 24865344.

44356842 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 (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44356797 and 44356806.

It is not an unprimeable number, because it can be changed into a prime (44356843) 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 31 ways as a sum of consecutive naturals, for example, 193584 + ... + 193812.

It is an arithmetic number, because the mean of its divisors is an integer number (1645650).

Almost surely, 244356842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44356842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52660800).

44356842 is an abundant number, since it is smaller than the sum of its proper divisors (60964758).

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

44356842 is a wasteful number, since it uses less digits than its factorization.

44356842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 44356842 is about 6660.0932425905. The cubic root of 44356842 is about 353.9866412655.

The spelling of 44356842 in words is "forty-four million, three hundred fifty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 229 306 422 458 459 633 687 918 1266 1374 1899 2061 3587 3798 3893 4122 5697 6183 7174 7786 10761 11394 11679 12366 21522 23358 32283 35037 48319 64566 70074 96638 96849 105111 144957 193698 210222 289914 434871 821423 869742 1304613 1642846 2464269 2609226 4928538 7392807 14785614 22178421 44356842