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445141500 = 223531915619
BaseRepresentation
bin11010100010000…
…101000111111100
31011000121112100020
4122202011013330
51402424012000
6112100532140
714013432426
oct3242050774
91130545306
10445141500
112092a8441
121050b1050
13712b844b
1443195816
152912dba0
hex1a8851fc

445141500 has 96 divisors (see below), whose sum is σ = 1364563200. Its totient is φ = 112449600.

The previous prime is 445141483. The next prime is 445141511. The reversal of 445141500 is 5141544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20691 + ... + 36309.

It is an arithmetic number, because the mean of its divisors is an integer number (14214200).

Almost surely, 2445141500 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 445141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682281600).

445141500 is an abundant number, since it is smaller than the sum of its proper divisors (919421700).

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

445141500 is a wasteful number, since it uses less digits than its factorization.

445141500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15660 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 445141500 is about 21098.3767148091. The cubic root of 445141500 is about 763.5415846862.

The spelling of 445141500 in words is "four hundred forty-five million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1140 1425 1500 1900 2375 2850 4750 5700 7125 9500 14250 15619 28500 31238 46857 62476 78095 93714 156190 187428 234285 296761 312380 390475 468570 593522 780950 890283 937140 1171425 1187044 1483805 1561900 1780566 1952375 2342850 2967610 3561132 3904750 4451415 4685700 5857125 5935220 7419025 7809500 8902830 11714250 14838050 17805660 22257075 23428500 29676100 37095125 44514150 74190250 89028300 111285375 148380500 222570750 445141500