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444062440 = 23517653033
BaseRepresentation
bin11010011101111…
…101101011101000
31010221120201011001
4122131331223220
51402134444230
6112021444344
714001316453
oct3235755350
91127521131
10444062440
11208730758
121048706b4
1370ccb253
1442d9449a
1528eb90ca
hex1a77dae8

444062440 has 32 divisors (see below), whose sum is σ = 1057915080. Its totient is φ = 167176192.

The previous prime is 444062429. The next prime is 444062473. The reversal of 444062440 is 44260444.

It can be written as a sum of positive squares in 4 ways, for example, as 442429156 + 1633284 = 21034^2 + 1278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444062399 and 444062408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325837 + ... + 327196.

Almost surely, 2444062440 is an apocalyptic number.

444062440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444062440 is an abundant number, since it is smaller than the sum of its proper divisors (613852640).

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

444062440 is a wasteful number, since it uses less digits than its factorization.

444062440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653061 (or 653057 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 444062440 is about 21072.7890892497. The cubic root of 444062440 is about 762.9241227329.

The spelling of 444062440 in words is "four hundred forty-four million, sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 653033 1306066 2612132 3265165 5224264 6530330 11101561 13060660 22203122 26121320 44406244 55507805 88812488 111015610 222031220 444062440