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445021248 = 26372631259
BaseRepresentation
bin11010100001100…
…111110001000000
31011000101102101110
4122201213301000
51402411134443
6112054203320
714012422020
oct3241476100
91130342343
10445021248
11209226061
12105053540
13712757a9
1443163a80
1529108233
hex1a867c40

445021248 has 112 divisors (see below), whose sum is σ = 1351848960. Its totient is φ = 126564864.

The previous prime is 445021229. The next prime is 445021289. The reversal of 445021248 is 842120544.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4450212482 = 396087822342955008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352843 + ... + 354101.

It is an arithmetic number, because the mean of its divisors is an integer number (12070080).

Almost surely, 2445021248 is an apocalyptic number.

445021248 is a gapful number since it is divisible by the number (48) 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 445021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

445021248 is an abundant number, since it is smaller than the sum of its proper divisors (906827712).

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

445021248 is a wasteful number, since it uses less digits than its factorization.

445021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 445021248 is about 21095.5267296173. The cubic root of 445021248 is about 763.4728232760.

The spelling of 445021248 in words is "four hundred forty-five million, twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 263 336 448 526 672 789 1052 1259 1344 1578 1841 2104 2518 3156 3682 3777 4208 5036 5523 6312 7364 7554 8416 8813 10072 11046 12624 14728 15108 16832 17626 20144 22092 25248 26439 29456 30216 35252 40288 44184 50496 52878 58912 60432 70504 80576 88368 105756 117824 120864 141008 176736 211512 241728 282016 331117 353472 423024 564032 662234 846048 993351 1324468 1692096 1986702 2317819 2648936 3973404 4635638 5297872 6953457 7946808 9271276 10595744 13906914 15893616 18542552 21191488 27813828 31787232 37085104 55627656 63574464 74170208 111255312 148340416 222510624 445021248