Search a number
-
+
44362116 = 223231127313
BaseRepresentation
bin1010100100111…
…0100110000100
310002110211101100
42221032212010
542324041431
64222500100
71046033421
oct251164604
9102424340
1044362116
112304aa07
1212a34630
139263196
145c6ad48
153d644e6
hex2a4e984

44362116 has 72 divisors (see below), whose sum is σ = 117039104. Its totient is φ = 14152320.

The previous prime is 44362103. The next prime is 44362121. The reversal of 44362116 is 61126344.

44362116 is a `hidden beast` number, since 443 + 6 + 211 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44362116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141576 + ... + 141888.

Almost surely, 244362116 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 44362116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58519552).

44362116 is an abundant number, since it is smaller than the sum of its proper divisors (72676988).

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

44362116 is a wasteful number, since it uses less digits than its factorization.

44362116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 44362116 is about 6660.4891712246. The cubic root of 44362116 is about 354.0006703042. Note that the first 3 decimals are identical.

The spelling of 44362116 in words is "forty-four million, three hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 313 372 381 508 558 626 762 939 1116 1143 1252 1524 1878 2286 2817 3756 3937 4572 5634 7874 9703 11268 11811 15748 19406 23622 29109 35433 38812 39751 47244 58218 70866 79502 87327 116436 119253 141732 159004 174654 238506 349308 357759 477012 715518 1232281 1431036 2464562 3696843 4929124 7393686 11090529 14787372 22181058 44362116