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444822630 = 23572339091
BaseRepresentation
bin11010100000110…
…111010001100110
31011000000022221020
4122200313101212
51402333311010
6112050032010
714010633660
oct3240672146
91130008836
10444822630
112090aa90a
12104b78606
1371206275
1443111530
15290b9470
hex1a837466

444822630 has 64 divisors (see below), whose sum is σ = 1225456128. Its totient is φ = 101226240.

The previous prime is 444822611. The next prime is 444822641. The reversal of 444822630 is 36228444.

It is a junction number, because it is equal to n+sod(n) for n = 444822591 and 444822600.

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, 44385 + ... + 53475.

It is an arithmetic number, because the mean of its divisors is an integer number (19147752).

Almost surely, 2444822630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444822630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612728064).

444822630 is an abundant number, since it is smaller than the sum of its proper divisors (780633498).

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

444822630 is a wasteful number, since it uses less digits than its factorization.

444822630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341.

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 444822630 is about 21090.8186185364. The cubic root of 444822630 is about 763.3592241980.

The spelling of 444822630 in words is "four hundred forty-four million, eight hundred twenty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 466 699 1165 1398 1631 2330 3262 3495 4893 6990 8155 9091 9786 16310 18182 24465 27273 45455 48930 54546 63637 90910 127274 136365 190911 272730 318185 381822 636370 954555 1909110 2118203 4236406 6354609 10591015 12709218 14827421 21182030 29654842 31773045 44482263 63546090 74137105 88964526 148274210 222411315 444822630