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445161132 = 2232136714197
BaseRepresentation
bin11010100010001…
…001111010101100
31011000122112021100
4122202021322230
51402430124012
6112101203100
714013543603
oct3242117254
91130575240
10445161132
11209311169
12105100490
13712c4370
144319ca3a
15291348dc
hex1a889eac

445161132 has 72 divisors (see below), whose sum is σ = 1230001136. Its totient is φ = 134918784.

The previous prime is 445161109. The next prime is 445161139. The reversal of 445161132 is 231161544.

It is a happy number.

445161132 is a `hidden beast` number, since 4 + 45 + 1 + 611 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 445161096 and 445161105.

It is not an unprimeable number, because it can be changed into a prime (445161139) 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, 24258 + ... + 38454.

Almost surely, 2445161132 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 445161132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615000568).

445161132 is an abundant number, since it is smaller than the sum of its proper divisors (784840004).

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

445161132 is a wasteful number, since it uses less digits than its factorization.

445161132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14287 (or 14282 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 445161132 is about 21098.8419587427. The cubic root of 445161132 is about 763.5528093028.

The spelling of 445161132 in words is "four hundred forty-five million, one hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 14197 15678 28394 31356 42591 56788 85182 127773 170364 184561 255546 369122 511092 553683 738244 951199 1107366 1661049 1902398 2214732 2853597 3322098 3804796 5707194 6644196 8560791 11414388 12365587 17121582 24731174 34243164 37096761 49462348 74193522 111290283 148387044 222580566 445161132