Search a number
-
+
44257140 = 22325713463
BaseRepresentation
bin1010100011010…
…0111101110100
310002021111101100
42220310331310
542312212030
64220330100
71045115364
oct250647564
9102244340
1044257140
1122a89054
12129a3930
139227475
145c409a4
153d43360
hex2a34f74

44257140 has 72 divisors (see below), whose sum is σ = 136176768. Its totient is φ = 11632320.

The previous prime is 44257111. The next prime is 44257141. The reversal of 44257140 is 4175244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44257141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (1891344).

Almost surely, 244257140 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 44257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68088384).

44257140 is an abundant number, since it is smaller than the sum of its proper divisors (91919628).

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

44257140 is a wasteful number, since it uses less digits than its factorization.

44257140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 44257140 is about 6652.6040014418. The cubic root of 44257140 is about 353.7212207147.

The spelling of 44257140 in words is "forty-four million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 3463 4260 6390 6926 10389 12780 13852 17315 20778 31167 34630 41556 51945 62334 69260 103890 124668 155835 207780 245873 311670 491746 623340 737619 983492 1229365 1475238 2212857 2458730 2950476 3688095 4425714 4917460 7376190 8851428 11064285 14752380 22128570 44257140