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445050200 = 235271392287
BaseRepresentation
bin11010100001101…
…110110101011000
31011000102220002202
4122201232311120
51402413101300
6112054545332
714012602310
oct3241566530
91130386082
10445050200
11209245891
12105068248
1371285a1a
1443170440
1529111ad5
hex1a86ed58

445050200 has 96 divisors (see below), whose sum is σ = 1191590400. Its totient is φ = 151424640.

The previous prime is 445050197. The next prime is 445050209. The reversal of 445050200 is 2050544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445050209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193457 + ... + 195743.

It is an arithmetic number, because the mean of its divisors is an integer number (12412400).

Almost surely, 2445050200 is an apocalyptic number.

445050200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595795200).

445050200 is an abundant number, since it is smaller than the sum of its proper divisors (746540200).

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

445050200 is a wasteful number, since it uses less digits than its factorization.

445050200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 445050200 is about 21096.2129302868. The cubic root of 445050200 is about 763.4893794786.

The spelling of 445050200 in words is "four hundred forty-five million, fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 1112 1390 1400 1946 2287 2780 3475 3892 4574 4865 5560 6950 7784 9148 9730 11435 13900 16009 18296 19460 22870 24325 27800 32018 38920 45740 48650 57175 64036 80045 91480 97300 114350 128072 160090 194600 228700 317893 320180 400225 457400 635786 640360 800450 1271572 1589465 1600900 2225251 2543144 3178930 3201800 4450502 6357860 7947325 8901004 11126255 12715720 15894650 17802008 22252510 31789300 44505020 55631275 63578600 89010040 111262550 222525100 445050200