Search a number
-
+
44955684 = 223217229149
BaseRepresentation
bin1010101101111…
…1100000100100
310010120222121100
42223133200210
543002040214
64243320100
71054055064
oct253374044
9103528540
1044955684
1123415964
1213080030
1394103c7
145d833a4
153e30309
hex2adf824

44955684 has 108 divisors (see below), whose sum is σ = 125716500. Its totient is φ = 13526016.

The previous prime is 44955619. The next prime is 44955707. The reversal of 44955684 is 48655944.

44955684 = T407 + T408 + ... + T695.

44955684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 360000 + 44595684 = 600^2 + 6678^2 .

Its product of digits (691200) is a multiple of the sum of its prime divisors (200).

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 35 ways as a sum of consecutive naturals, for example, 301642 + ... + 301790.

Almost surely, 244955684 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 44955684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62858250).

44955684 is an abundant number, since it is smaller than the sum of its proper divisors (80760816).

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

44955684 is a wasteful number, since it uses less digits than its factorization.

44955684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 44955684 is about 6704.8999992543. The cubic root of 44955684 is about 355.5725311484.

The spelling of 44955684 in words is "forty-four million, nine hundred fifty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 149 153 174 204 261 289 298 306 348 447 493 522 578 596 612 867 894 986 1044 1156 1341 1479 1734 1788 1972 2533 2601 2682 2958 3468 4321 4437 5066 5202 5364 5916 7599 8381 8642 8874 10132 10404 12963 15198 16762 17284 17748 22797 25143 25926 30396 33524 38889 43061 45594 50286 51852 73457 75429 77778 86122 91188 100572 129183 146914 150858 155556 172244 220371 258366 293828 301716 387549 440742 516732 661113 775098 881484 1248769 1322226 1550196 2497538 2644452 3746307 4995076 7492614 11238921 14985228 22477842 44955684