Search a number
-
+
445143040 = 2115291499
BaseRepresentation
bin11010100010000…
…101100000000000
31011000121121110021
4122202011200000
51402424034130
6112100543224
714013440056
oct3242054000
91130547407
10445143040
112092a9611
121050b1b14
13712b9064
14431961d6
152912e37a
hex1a885800

445143040 has 96 divisors (see below), whose sum is σ = 1105650000. Its totient is φ = 171802624.

The previous prime is 445143007. The next prime is 445143067. The reversal of 445143040 is 40341544.

It is a junction number, because it is equal to n+sod(n) for n = 445142996 and 445143014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296211 + ... + 297709.

Almost surely, 2445143040 is an apocalyptic number.

445143040 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 445143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552825000).

445143040 is an abundant number, since it is smaller than the sum of its proper divisors (660506960).

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

445143040 is a wasteful number, since it uses less digits than its factorization.

445143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 445143040 is about 21098.4132104763. The cubic root of 445143040 is about 763.5424651947.

Adding to 445143040 its reverse (40341544), we get a palindrome (485484584).

The spelling of 445143040 in words is "four hundred forty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1499 1856 2048 2320 2560 2998 3712 4640 5120 5996 7424 7495 9280 10240 11992 14848 14990 18560 23984 29696 29980 37120 43471 47968 59392 59960 74240 86942 95936 119920 148480 173884 191872 217355 239840 296960 347768 383744 434710 479680 695536 767488 869420 959360 1391072 1534976 1738840 1918720 2782144 3069952 3477680 3837440 5564288 6955360 7674880 11128576 13910720 15349760 22257152 27821440 44514304 55642880 89028608 111285760 222571520 445143040