Search a number
-
+
44483400 = 233252131901
BaseRepresentation
bin1010100110110…
…0001101001000
310002200222202100
42221230031020
542341432100
64225233400
71050050133
oct251541510
9102628670
1044483400
1123123045
1212a92860
1392a6450
145c9d21a
153d8a400
hex2a6c348

44483400 has 144 divisors (see below), whose sum is σ = 160966260. Its totient is φ = 10944000.

The previous prime is 44483393. The next prime is 44483423. The reversal of 44483400 is 438444.

It can be written as a sum of positive squares in 6 ways, for example, as 1790244 + 42693156 = 1338^2 + 6534^2 .

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 35 ways as a sum of consecutive naturals, for example, 22450 + ... + 24350.

Almost surely, 244483400 is an apocalyptic number.

44483400 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 44483400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80483130).

44483400 is an abundant number, since it is smaller than the sum of its proper divisors (116482860).

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

44483400 is a wasteful number, since it uses less digits than its factorization.

44483400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44483400 is about 6669.5876934035. The cubic root of 44483400 is about 354.3229839762.

The spelling of 44483400 in words is "forty-four million, four hundred eighty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1901 1950 2340 2600 2925 3802 3900 4680 5703 5850 7604 7800 9505 11406 11700 15208 17109 19010 22812 23400 24713 28515 34218 38020 45624 47525 49426 57030 68436 74139 76040 85545 95050 98852 114060 123565 136872 142575 148278 171090 190100 197704 222417 228120 247130 285150 296556 342180 370695 380200 427725 444834 494260 570300 593112 617825 684360 741390 855450 889668 988520 1112085 1140600 1235650 1482780 1710900 1779336 1853475 2224170 2471300 2965560 3421800 3706950 4448340 4942600 5560425 7413900 8896680 11120850 14827800 22241700 44483400