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445056912 = 243219473461
BaseRepresentation
bin11010100001110…
…000011110010000
31011000110020022100
4122201300132100
51402413310122
6112055040400
714012631006
oct3241603620
91130406270
10445056912
1120924a933
12105070100
1371288ab1
1443172a76
1529113aac
hex1a870790

445056912 has 120 divisors (see below), whose sum is σ = 1339378560. Its totient is φ = 137514240.

The previous prime is 445056907. The next prime is 445056961. The reversal of 445056912 is 219650544.

445056912 is a `hidden beast` number, since 44 + 50 + 569 + 1 + 2 = 666.

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

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, 126862 + ... + 130322.

It is an arithmetic number, because the mean of its divisors is an integer number (11161488).

Almost surely, 2445056912 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 445056912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669689280).

445056912 is an abundant number, since it is smaller than the sum of its proper divisors (894321648).

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

445056912 is a wasteful number, since it uses less digits than its factorization.

445056912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 445056912 is about 21096.3720103718. The cubic root of 445056912 is about 763.4932176336.

The spelling of 445056912 in words is "four hundred forty-five million, fifty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 423 456 564 684 752 846 893 912 1128 1368 1692 1786 2256 2679 2736 3384 3461 3572 5358 6768 6922 7144 8037 10383 10716 13844 14288 16074 20766 21432 27688 31149 32148 41532 42864 55376 62298 64296 65759 83064 124596 128592 131518 162667 166128 197277 249192 263036 325334 394554 488001 498384 526072 591831 650668 789108 976002 1052144 1183662 1301336 1464003 1578216 1952004 2367324 2602672 2928006 3090673 3156432 3904008 4734648 5856012 6181346 7808016 9272019 9469296 11712024 12362692 18544038 23424048 24725384 27816057 37088076 49450768 55632114 74176152 111264228 148352304 222528456 445056912