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445730688 = 2734133307
BaseRepresentation
bin11010100100010…
…100111110000000
31011001201110120000
4122210110332000
51403101340223
6112121320000
714021435244
oct3244247600
91131643500
10445730688
11209670077
12105336000
1371463690
14432aa424
15291e8543
hex1a914f80

445730688 has 160 divisors (see below), whose sum is σ = 1428956760. Its totient is φ = 137106432.

The previous prime is 445730683. The next prime is 445730713. The reversal of 445730688 is 886037544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445730683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133131 + ... + 136437.

Almost surely, 2445730688 is an apocalyptic number.

445730688 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 445730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714478380).

445730688 is an abundant number, since it is smaller than the sum of its proper divisors (983226072).

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

445730688 is a wasteful number, since it uses less digits than its factorization.

445730688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 445730688 is about 21112.3349727120. The cubic root of 445730688 is about 763.8783099769.

The spelling of 445730688 in words is "four hundred forty-five million, seven hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3307 3456 3744 4212 4992 5184 5616 6614 7488 8424 9921 10368 11232 13228 14976 16848 19842 22464 26456 29763 33696 39684 42991 44928 52912 59526 67392 79368 85982 89289 105824 119052 128973 134784 158736 171964 178578 211648 238104 257946 267867 317472 343928 357156 386919 423296 476208 515892 535734 634944 687856 714312 773838 952416 1031784 1071468 1160757 1269888 1375712 1428624 1547676 1904832 2063568 2142936 2321514 2751424 2857248 3095352 3482271 3809664 4127136 4285872 4643028 5502848 5714496 6190704 6964542 8254272 8571744 9286056 11428992 12381408 13929084 16508544 17143488 18572112 24762816 27858168 34286976 37144224 49525632 55716336 74288448 111432672 148576896 222865344 445730688