Search a number
-
+
44201040 = 24351331457
BaseRepresentation
bin1010100010011…
…1010001010000
310002011122102120
42220213101100
542303413130
64215214240
71044463002
oct250472120
9102148376
1044201040
1122a4a994
1212977380
139207a80
145c28372
153d31910
hex2a27450

44201040 has 160 divisors (see below), whose sum is σ = 152656896. Its totient is φ = 10506240.

The previous prime is 44201021. The next prime is 44201041. The reversal of 44201040 is 4010244.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44201041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96492 + ... + 96948.

Almost surely, 244201040 is an apocalyptic number.

44201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76328448).

44201040 is an abundant number, since it is smaller than the sum of its proper divisors (108455856).

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

44201040 is a wasteful number, since it uses less digits than its factorization.

44201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 44201040 is about 6648.3862703667. The cubic root of 44201040 is about 353.5716994474.

Adding to 44201040 its reverse (4010244), we get a palindrome (48211284).

It can be divided in two parts, 4420 and 1040, that added together give a triangular number (5460 = T104).

The spelling of 44201040 in words is "forty-four million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 457 465 496 520 620 624 744 780 806 914 930 1040 1209 1240 1371 1488 1560 1612 1828 1860 2015 2285 2418 2480 2742 3120 3224 3656 3720 4030 4570 4836 5484 5941 6045 6448 6855 7312 7440 8060 9140 9672 10968 11882 12090 13710 14167 16120 17823 18280 19344 21936 23764 24180 27420 28334 29705 32240 35646 36560 42501 47528 48360 54840 56668 59410 70835 71292 85002 89115 95056 96720 109680 113336 118820 141670 142584 170004 178230 184171 212505 226672 237640 283340 285168 340008 356460 368342 425010 475280 552513 566680 680016 712920 736684 850020 920855 1105026 1133360 1425840 1473368 1700040 1841710 2210052 2762565 2946736 3400080 3683420 4420104 5525130 7366840 8840208 11050260 14733680 22100520 44201040