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445255356 = 2237213311879
BaseRepresentation
bin11010100010100…
…000111010111100
31011000211022112010
4122202200322330
51402441132411
6112103211220
714014415400
oct3242407274
91130738463
10445255356
11209375a37
12105146b10
1371328210
14431c5100
15291527a6
hex1a8a0ebc

445255356 has 144 divisors (see below), whose sum is σ = 1344215040. Its totient is φ = 113581440.

The previous prime is 445255351. The next prime is 445255417. The reversal of 445255356 is 653552544.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445255351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236025 + ... + 237903.

Almost surely, 2445255356 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 445255356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672107520).

445255356 is an abundant number, since it is smaller than the sum of its proper divisors (898959684).

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

445255356 is a wasteful number, since it uses less digits than its factorization.

445255356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its digits is 360000, while the sum is 39.

The square root of 445255356 is about 21101.0747593576. The cubic root of 445255356 is about 763.6066773813.

The spelling of 445255356 in words is "four hundred forty-five million, two hundred fifty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 182 186 196 217 273 294 364 372 403 434 546 588 637 651 806 868 1092 1209 1274 1302 1519 1612 1879 1911 2418 2548 2604 2821 3038 3758 3822 4557 4836 5637 5642 6076 7516 7644 8463 9114 11274 11284 13153 16926 18228 19747 22548 24427 26306 33852 39459 39494 48854 52612 58249 59241 73281 78918 78988 92071 97708 116498 118482 146562 157836 170989 174747 184142 232996 236964 276213 293124 341978 349494 368284 407743 512967 552426 683956 698988 757237 815486 1025934 1104852 1196923 1223229 1514474 1630972 2051868 2271711 2393846 2446458 2854201 3028948 3590769 4543422 4787692 4892916 5300659 5708402 7181538 8562603 9086844 10601318 11416804 14363076 15901977 17125206 21202636 31803954 34250412 37104613 63607908 74209226 111313839 148418452 222627678 445255356