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445805712 = 243211431653
BaseRepresentation
bin11010100100100…
…111010010010000
31011001212021110200
4122210213102100
51403111240322
6112123055200
714022200052
oct3244472220
91131767420
10445805712
11209711480
12105371500
137148b881
14432c98d2
15292108ac
hex1a927490

445805712 has 120 divisors (see below), whose sum is σ = 1366305408. Its totient is φ = 134572800.

The previous prime is 445805693. The next prime is 445805713. The reversal of 445805712 is 217508544.

445805712 is a `hidden beast` number, since 4 + 4 + 5 + 80 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (445805713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682378 + ... + 683030.

Almost surely, 2445805712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445805712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683152704).

445805712 is an abundant number, since it is smaller than the sum of its proper divisors (920499696).

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

445805712 is a wasteful number, since it uses less digits than its factorization.

445805712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 445805712 is about 21114.1116791590. Note that the first 3 decimals coincide. The cubic root of 445805712 is about 763.9211654446.

The spelling of 445805712 in words is "four hundred forty-five million, eight hundred five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 431 528 653 792 862 1293 1306 1584 1724 1959 2586 2612 3448 3879 3918 4741 5172 5224 5877 6896 7183 7758 7836 9482 10344 10448 11754 14223 14366 15516 15672 18964 20688 21549 23508 28446 28732 31032 31344 37928 42669 43098 47016 56892 57464 62064 64647 75856 85338 86196 94032 113784 114928 129294 170676 172392 227568 258588 281443 341352 344784 517176 562886 682704 844329 1034352 1125772 1688658 2251544 2532987 3095873 3377316 4503088 5065974 6191746 6754632 9287619 10131948 12383492 13509264 18575238 20263896 24766984 27862857 37150476 40527792 49533968 55725714 74300952 111451428 148601904 222902856 445805712