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445886672 = 247211149347
BaseRepresentation
bin11010100100111…
…011000011010000
31011002000101112012
4122210323003100
51403121333142
6112124522052
714022655100
oct3244730320
91132011465
10445886672
11209767290
121053b0328
13714b968a
144330b200
1529229882
hex1a93b0d0

445886672 has 120 divisors (see below), whose sum is σ = 1106848800. Its totient is φ = 172058880.

The previous prime is 445886657. The next prime is 445886681. The reversal of 445886672 is 276688544.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 445886672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284803 + ... + 1285149.

It is an arithmetic number, because the mean of its divisors is an integer number (9223740).

Almost surely, 2445886672 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 445886672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553424400).

445886672 is an abundant number, since it is smaller than the sum of its proper divisors (660962128).

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

445886672 is a wasteful number, since it uses less digits than its factorization.

445886672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 445886672 is about 21116.0287933124. The cubic root of 445886672 is about 763.9674063012.

The spelling of 445886672 in words is "four hundred forty-five million, eight hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 149 154 176 196 298 308 347 392 539 596 616 694 784 1043 1078 1192 1232 1388 1639 2086 2156 2384 2429 2776 3278 3817 4172 4312 4858 5552 6556 7301 7634 8344 8624 9716 11473 13112 14602 15268 16688 17003 19432 22946 26224 26719 29204 30536 34006 38864 45892 51703 53438 58408 61072 68012 80311 91784 103406 106876 116816 136024 160622 183568 187033 206812 213752 272048 321244 361921 374066 413624 427504 568733 642488 723842 748132 827248 1137466 1284976 1447684 1496264 2274932 2533447 2895368 2992528 3981131 4549864 5066894 5790736 7962262 9099728 10133788 15924524 20267576 27867917 31849048 40535152 55735834 63698096 111471668 222943336 445886672