Search a number
-
+
445302440 = 235114761353
BaseRepresentation
bin11010100010101…
…100011010101000
31011000220201002222
4122202230122220
51402444134230
6112104213212
714015002562
oct3242543250
91130821088
10445302440
112093a8350
1210516a208
137134378b
14431d8332
15291616e5
hex1a8ac6a8

445302440 has 128 divisors (see below), whose sum is σ = 1137784320. Its totient is φ = 155443200.

The previous prime is 445302439. The next prime is 445302457. The reversal of 445302440 is 44203544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261304 + ... + 1261656.

It is an arithmetic number, because the mean of its divisors is an integer number (8888940).

Almost surely, 2445302440 is an apocalyptic number.

445302440 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 445302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568892160).

445302440 is an abundant number, since it is smaller than the sum of its proper divisors (692481880).

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

445302440 is a wasteful number, since it uses less digits than its factorization.

445302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 445302440 is about 21102.1904076330. The cubic root of 445302440 is about 763.6335925654.

Adding to 445302440 its reverse (44203544), we get a palindrome (489505984).

The spelling of 445302440 in words is "four hundred forty-five million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 61 88 94 110 122 188 220 235 244 305 353 376 440 470 488 517 610 671 706 940 1034 1220 1342 1412 1765 1880 2068 2440 2585 2684 2824 2867 3355 3530 3883 4136 5170 5368 5734 6710 7060 7766 10340 11468 13420 14120 14335 15532 16591 19415 20680 21533 22936 26840 28670 31064 31537 33182 38830 43066 57340 63074 66364 77660 82955 86132 107665 114680 126148 132728 155320 157685 165910 172264 182501 215330 236863 252296 315370 331820 365002 430660 473726 630740 663640 730004 861320 912505 947452 1012051 1184315 1261480 1460008 1825010 1894904 2024102 2368630 3650020 4048204 4737260 5060255 7300040 8096408 9474520 10120510 11132561 20241020 22265122 40482040 44530244 55662805 89060488 111325610 222651220 445302440