Search a number
-
+
44035056 = 2433137841
BaseRepresentation
bin1010011111111…
…0101111110000
310001212012202000
42213332233300
542233110211
64211454000
71043202042
oct247765760
9101765660
1044035056
112294720a
12128b7300
13917a360
145bc3a92
153cec656
hex29febf0

44035056 has 80 divisors (see below), whose sum is σ = 136137120. Its totient is φ = 13547520.

The previous prime is 44035051. The next prime is 44035081. The reversal of 44035056 is 65053044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44035051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (1701714).

Almost surely, 244035056 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 44035056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68068560).

44035056 is an abundant number, since it is smaller than the sum of its proper divisors (92102064).

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

44035056 is a wasteful number, since it uses less digits than its factorization.

44035056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 44035056 is about 6635.8915000172. The cubic root of 44035056 is about 353.1285661373.

The spelling of 44035056 in words is "forty-four million, thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 7841 15682 23523 31364 47046 62728 70569 94092 101933 125456 141138 188184 203866 211707 282276 305799 376368 407732 423414 564552 611598 815464 846828 917397 1129104 1223196 1630928 1693656 1834794 2446392 2752191 3387312 3669588 4892784 5504382 7339176 11008764 14678352 22017528 44035056