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445024840 = 2351319311453
BaseRepresentation
bin11010100001101…
…000101001001000
31011000101121022111
4122201220221020
51402411243330
6112054232104
714012435341
oct3241505110
91130347274
10445024840
11209228827
12105055634
1371277310
14431650c8
152910932a
hex1a868a48

445024840 has 128 divisors (see below), whose sum is σ = 1172505600. Its totient is φ = 150543360.

The previous prime is 445024837. The next prime is 445024847. The reversal of 445024840 is 48420544.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (445024847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 305554 + ... + 307006.

It is an arithmetic number, because the mean of its divisors is an integer number (9160200).

Almost surely, 2445024840 is an apocalyptic number.

445024840 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 445024840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586252800).

445024840 is an abundant number, since it is smaller than the sum of its proper divisors (727480760).

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

445024840 is a wasteful number, since it uses less digits than its factorization.

445024840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 445024840 is about 21095.6118659782. The cubic root of 445024840 is about 763.4748774003.

The spelling of 445024840 in words is "four hundred forty-five million, twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 31 38 40 52 62 65 76 95 104 124 130 152 155 190 247 248 260 310 380 403 494 520 589 620 760 806 988 1178 1235 1240 1453 1612 1976 2015 2356 2470 2906 2945 3224 4030 4712 4940 5812 5890 7265 7657 8060 9880 11624 11780 14530 15314 16120 18889 23560 27607 29060 30628 37778 38285 45043 55214 58120 61256 75556 76570 90086 94445 110428 138035 151112 153140 180172 188890 220856 225215 276070 306280 358891 360344 377780 450430 552140 585559 717782 755560 855817 900860 1104280 1171118 1435564 1711634 1794455 1801720 2342236 2871128 2927795 3423268 3588910 4279085 4684472 5855590 6846536 7177820 8558170 11125621 11711180 14355640 17116340 22251242 23422360 34232680 44502484 55628105 89004968 111256210 222512420 445024840