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445905072 = 243219792063
BaseRepresentation
bin11010100100111…
…111100010110000
31011002001022202200
4122210333202300
51403122430242
6112125143200
714023062534
oct3244774260
91132038680
10445905072
1120977a098
121053bab00
13714c4b72
1443313bc4
152923004c
hex1a93f8b0

445905072 has 120 divisors (see below), whose sum is σ = 1330867200. Its totient is φ = 138962304.

The previous prime is 445905049. The next prime is 445905107. The reversal of 445905072 is 270509544.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215113 + ... + 217175.

It is an arithmetic number, because the mean of its divisors is an integer number (11090560).

Almost surely, 2445905072 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 445905072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665433600).

445905072 is an abundant number, since it is smaller than the sum of its proper divisors (884962128).

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

445905072 is a wasteful number, since it uses less digits than its factorization.

445905072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 445905072 is about 21116.4644768010. The cubic root of 445905072 is about 763.9779148062.

The spelling of 445905072 in words is "four hundred forty-five million, nine hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 79 114 144 152 158 171 228 237 304 316 342 456 474 632 684 711 912 948 1264 1368 1422 1501 1896 2063 2736 2844 3002 3792 4126 4503 5688 6004 6189 8252 9006 11376 12008 12378 13509 16504 18012 18567 24016 24756 27018 33008 36024 37134 39197 49512 54036 72048 74268 78394 99024 108072 117591 148536 156788 162977 216144 235182 297072 313576 325954 352773 470364 488931 627152 651908 705546 940728 977862 1303816 1411092 1466793 1881456 1955724 2607632 2822184 2933586 3096563 3911448 5644368 5867172 6193126 7822896 9289689 11734344 12386252 18579378 23468688 24772504 27869067 37158756 49545008 55738134 74317512 111476268 148635024 222952536 445905072