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445246080 = 2735435393
BaseRepresentation
bin11010100010011…
…110101010000000
31011000210211210120
4122202132222000
51402440333310
6112103100240
714014346346
oct3242365200
91130724716
10445246080
11209369a74
12105141680
1371323c26
14431c1996
152914eb70
hex1a89ea80

445246080 has 128 divisors (see below), whose sum is σ = 1452496320. Its totient is φ = 115949568.

The previous prime is 445246069. The next prime is 445246093. The reversal of 445246080 is 80642544.

It is a tau number, because it is divible by the number of its divisors (128).

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, 79864 + ... + 85256.

Almost surely, 2445246080 is an apocalyptic number.

445246080 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 445246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726248160).

445246080 is an abundant number, since it is smaller than the sum of its proper divisors (1007250240).

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

445246080 is a wasteful number, since it uses less digits than its factorization.

445246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 445246080 is about 21100.8549589821. The cubic root of 445246080 is about 763.6013746080.

The spelling of 445246080 in words is "four hundred forty-five million, two hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1720 1920 2064 2580 2752 3440 4128 5160 5393 5504 6880 8256 10320 10786 13760 16179 16512 20640 21572 26965 27520 32358 41280 43144 53930 64716 80895 82560 86288 107860 129432 161790 172576 215720 231899 258864 323580 345152 431440 463798 517728 647160 690304 695697 862880 927596 1035456 1159495 1294320 1391394 1725760 1855192 2070912 2318990 2588640 2782788 3451520 3478485 3710384 4637980 5177280 5565576 6956970 7420768 9275960 10354560 11131152 13913940 14841536 18551920 22262304 27827880 29683072 37103840 44524608 55655760 74207680 89049216 111311520 148415360 222623040 445246080