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444457062 = 232713126927
BaseRepresentation
bin11010011111011…
…110000001100110
31010222022202110200
4122133132001212
51402240111222
6112034131330
714004552120
oct3237360146
91128282420
10444457062
11208980195
12104a20b46
1371108a5a
1443058210
1529045eac
hex1a7de066

444457062 has 48 divisors (see below), whose sum is σ = 1109002752. Its totient is φ = 126013680.

The previous prime is 444457049. The next prime is 444457121. The reversal of 444457062 is 260754444.

444457062 is a `hidden beast` number, since 44 + 44 + 570 + 6 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3043 + ... + 29969.

It is an arithmetic number, because the mean of its divisors is an integer number (23104224).

Almost surely, 2444457062 is an apocalyptic number.

444457062 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 444457062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554501376).

444457062 is an abundant number, since it is smaller than the sum of its proper divisors (664545690).

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

444457062 is a wasteful number, since it uses less digits than its factorization.

444457062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27073 (or 27070 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 444457062 is about 21082.1503172708. The cubic root of 444457062 is about 763.1500500483.

The spelling of 444457062 in words is "four hundred forty-four million, four hundred fifty-seven thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 16506 26927 53854 80781 161562 188489 242343 376978 484686 565467 1130934 1696401 3392802 3527437 7054874 10582311 21164622 24692059 31746933 49384118 63493866 74076177 148152354 222228531 444457062