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445989312 = 26323124977
BaseRepresentation
bin11010100101010…
…100000111000000
31011002012121022200
4122211110013000
51403133124222
6112131033200
714023563246
oct3245240700
91132177280
10445989312
1120982740a
1210543b800
1371524302
1443336796
1529249eac
hex1a9541c0

445989312 has 84 divisors (see below), whose sum is σ = 1319637696. Its totient is φ = 143861760.

The previous prime is 445989311. The next prime is 445989317. The reversal of 445989312 is 213989544.

445989312 is a `hidden beast` number, since 44 + 598 + 9 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445989311) 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 11 ways as a sum of consecutive naturals, for example, 5368 + ... + 30344.

Almost surely, 2445989312 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 445989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659818848).

445989312 is an abundant number, since it is smaller than the sum of its proper divisors (873648384).

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

445989312 is a wasteful number, since it uses less digits than its factorization.

445989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25026 (or 25013 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 445989312 is about 21118.4590346928. The cubic root of 445989312 is about 764.0260217922.

The spelling of 445989312 in words is "four hundred forty-five million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 17856 24977 49954 74931 99908 149862 199816 224793 299724 399632 449586 599448 774287 799264 899172 1198896 1548574 1598528 1798344 2322861 2397792 3097148 3596688 4645722 4795584 6194296 6968583 7193376 9291444 12388592 13937166 14386752 18582888 24777184 27874332 37165776 49554368 55748664 74331552 111497328 148663104 222994656 445989312