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444994600 = 235213916007
BaseRepresentation
bin11010100001100…
…001010000101000
31011000100001211111
4122201201100220
51402404311400
6112053440104
714012251231
oct3241412050
91130301744
10444994600
11209208036
12105040034
137126661b
1443158088
15291003ba
hex1a861428

444994600 has 48 divisors (see below), whose sum is σ = 1042120800. Its totient is φ = 176706240.

The previous prime is 444994549. The next prime is 444994621. The reversal of 444994600 is 6499444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19797 + ... + 35803.

It is an arithmetic number, because the mean of its divisors is an integer number (21710850).

Almost surely, 2444994600 is an apocalyptic number.

444994600 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 444994600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521060400).

444994600 is an abundant number, since it is smaller than the sum of its proper divisors (597126200).

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

444994600 is a wasteful number, since it uses less digits than its factorization.

444994600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16162 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 444994600 is about 21094.8951170656. The cubic root of 444994600 is about 763.4575839812.

The spelling of 444994600 in words is "four hundred forty-four million, nine hundred ninety-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 5560 6950 13900 16007 27800 32014 64028 80035 128056 160070 320140 400175 640280 800350 1600700 2224973 3201400 4449946 8899892 11124865 17799784 22249730 44499460 55624325 88998920 111248650 222497300 444994600